396853843478400 has 8064 divisors, whose sum is σ = 2009705143852800. Its totient is φ = 75602875392000.

The previous prime is 396853843478363. The next prime is 396853843478441. The reversal of 396853843478400 is 4874348358693.

396853843478400 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 538 + 4 + 3 + 4 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×396853843478400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 12801736886385 + ... + 12801736886415.

Almost surely, 2^{396853843478400} is an apocalyptic number.

396853843478400 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 396853843478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004852571926400).

396853843478400 is an abundant number, since it is smaller than the sum of its proper divisors (1612851300374400).

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

396853843478400 is an equidigital number, since it uses as much as digits as its factorization.

396853843478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 396853843478400 in words is "three hundred ninety-six trillion, eight hundred fifty-three billion, eight hundred forty-three million, four hundred seventy-eight thousand, four hundred".