480048100 has 81 divisors (see below), whose sum is σ = 1215662427. Its totient is φ = 164062080.

The previous prime is 480048097. The next prime is 480048103. The reversal of 480048100 is 1840084.

The square root of 480048100 is 21910.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (480048097) and next prime (480048103).

It can be written as a sum of positive squares in 4 ways, for example, as 269682084 + 210366016 = 16422^2 + 14504^2 .

It is a super-2 number, since 2×480048100² = 460892356627220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (480048103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1533544 + ... + 1533856.

Almost surely, 2^480048100 is an apocalyptic number.

480048100 is the 21910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480048100

480048100 is an abundant number, since it is smaller than the sum of its proper divisors (735614327).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480048100 is a wasteful number, since it uses less digits than its factorization.

480048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 480048100 is about 782.9996808510. Note that the first 3 decimals are identical.

Multiplying 480048100 by its sum of digits (25), we get a square (12001202500 = 109550²).

480048100 divided by its sum of digits (25) gives a square (19201924 = 4382²).

Multiplying 480048100 by its product of nonzero digits (1024), we get a square (491569254400 = 701120²).

Adding to 480048100 its reverse (1840084), we get a palindrome (481888184).

It can be divided in two parts, 4800 and 48100, that added together give a square (52900 = 230²).

The spelling of 480048100 in words is "four hundred eighty million, forty-eight thousand, one hundred".