480659961600 has 2160 divisors, whose sum is σ = 2287600584192. Its totient is φ = 96785694720.

The previous prime is 480659961599. The next prime is 480659961611. The reversal of 480659961600 is 6169956084.

It is a happy number.

480659961600 is a `hidden beast` number, since 48 + 0 + 6 + 599 + 6 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×480659961600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1085010979 + ... + 1085011421.

Almost surely, 2^480659961600 is an apocalyptic number.

480659961600 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 480659961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143800292096).

480659961600 is an abundant number, since it is smaller than the sum of its proper divisors (1806940622592).

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

480659961600 is a wasteful number, since it uses less digits than its factorization.

480659961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 480659961600 in words is "four hundred eighty billion, six hundred fifty-nine million, nine hundred sixty-one thousand, six hundred".