396512474400 has 2304 divisors, whose sum is σ = 1911477657600. Its totient is φ = 77078200320.

The previous prime is 396512474389. The next prime is 396512474429. The reversal of 396512474400 is 4474215693.

396512474400 is a `hidden beast` number, since 3 + 96 + 51 + 2 + 474 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1123264624 + ... + 1123264976.

It is an arithmetic number, because the mean of its divisors is an integer number (829634400).

Almost surely, 2^396512474400 is an apocalyptic number.

396512474400 is a gapful number since it is divisible by the number (30) 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 396512474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955738828800).

396512474400 is an abundant number, since it is smaller than the sum of its proper divisors (1514965183200).

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

396512474400 is a wasteful number, since it uses less digits than its factorization.

396512474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 396512474400 in words is "three hundred ninety-six billion, five hundred twelve million, four hundred seventy-four thousand, four hundred".