576480100 has 81 divisors (see below), whose sum is σ = 1459455417. Its totient is φ = 197650320.

The previous prime is 576480097. The next prime is 576480103. The reversal of 576480100 is 1084675.

The square root of 576480100 is 24010.

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 (576480097) and next prime (576480103).

It can be written as a sum of positive squares in only one way, i.e., 207532836 + 368947264 = 14406^2 + 19208^2 .

It is not an unprimeable number, because it can be changed into a prime (576480103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82354297 + ... + 82354303.

Almost surely, 2^576480100 is an apocalyptic number.

576480100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

576480100 is the 24010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576480100

576480100 is an abundant number, since it is smaller than the sum of its proper divisors (882975317).

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

576480100 is an frugal number, since it uses more digits than its factorization.

576480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 576480100 is about 832.2646335985.

The spelling of 576480100 in words is "five hundred seventy-six million, four hundred eighty thousand, one hundred".