480615600 has 120 divisors (see below), whose sum is σ = 1555820560. Its totient is φ = 126812160.

The previous prime is 480615587. The next prime is 480615623. The reversal of 480615600 is 6516084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×480615600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114336 + ... + 118464.

Almost surely, 2^480615600 is an apocalyptic number.

480615600 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 480615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777910280).

480615600 is an abundant number, since it is smaller than the sum of its proper divisors (1075204960).

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

480615600 is a wasteful number, since it uses less digits than its factorization.

480615600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 480615600 is about 21922.9468822054. The cubic root of 480615600 is about 783.3081064257.

The spelling of 480615600 in words is "four hundred eighty million, six hundred fifteen thousand, six hundred".