480961800 has 240 divisors, whose sum is σ = 1822986000. Its totient is φ = 116553600.

The previous prime is 480961799. The next prime is 480961847. The reversal of 480961800 is 8169084.

It is a happy number.

It is a super-3 number, since 3×480961800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 176851 + ... + 179549.

It is an arithmetic number, because the mean of its divisors is an integer number (7595775).

Almost surely, 2^480961800 is an apocalyptic number.

480961800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911493000).

480961800 is an abundant number, since it is smaller than the sum of its proper divisors (1342024200).

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

480961800 is a wasteful number, since it uses less digits than its factorization.

480961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 480961800 is about 21930.8412971322. The cubic root of 480961800 is about 783.4961403967.

The spelling of 480961800 in words is "four hundred eighty million, nine hundred sixty-one thousand, eight hundred".