396493574400 has 2916 divisors, whose sum is σ = 1923371385936. Its totient is φ = 80472268800.

The previous prime is 396493574377. The next prime is 396493574413. The reversal of 396493574400 is 4475394693.

It is a happy number.

396493574400 is a `hidden beast` number, since 3 + 9 + 64 + 9 + 3 + 574 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 9220780779 + ... + 9220780821.

Almost surely, 2^396493574400 is an apocalyptic number.

396493574400 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 396493574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961685692968).

396493574400 is an abundant number, since it is smaller than the sum of its proper divisors (1526877811536).

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

396493574400 is a wasteful number, since it uses less digits than its factorization.

396493574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 396493574400 in words is "three hundred ninety-six billion, four hundred ninety-three million, five hundred seventy-four thousand, four hundred".