482642468400 has 60 divisors (see below), whose sum is σ = 1546064710952. Its totient is φ = 128704657920.

The previous prime is 482642468359. The next prime is 482642468437. The reversal of 482642468400 is 4864246284.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 482642468400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201099829 + ... + 201102228.

Almost surely, 2^482642468400 is an apocalyptic number.

482642468400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482642468400 is an abundant number, since it is smaller than the sum of its proper divisors (1063422242552).

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

482642468400 is a wasteful number, since it uses less digits than its factorization.

482642468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402202078 (or 402202067 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 482642468400 in words is "four hundred eighty-two billion, six hundred forty-two million, four hundred sixty-eight thousand, four hundred".