482309078400 has 192 divisors, whose sum is σ = 1765117568400. Its totient is φ = 128615731200.

The previous prime is 482309078371. The next prime is 482309078443. The reversal of 482309078400 is 4870903284.

482309078400 is a `hidden beast` number, since 4 + 8 + 230 + 9 + 0 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2704741 + ... + 2877540.

Almost surely, 2^482309078400 is an apocalyptic number.

482309078400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482309078400 is an abundant number, since it is smaller than the sum of its proper divisors (1282808490000).

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

482309078400 is a wasteful number, since it uses less digits than its factorization.

482309078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582314 (or 5582291 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 482309078400 in words is "four hundred eighty-two billion, three hundred nine million, seventy-eight thousand, four hundred".