396573836400 has 1080 divisors, whose sum is σ = 1688807337984. Its totient is φ = 85799347200.

The previous prime is 396573836387. The next prime is 396573836473. The reversal of 396573836400 is 4638375693.

396573836400 is a `hidden beast` number, since 3 + 9 + 6 + 573 + 8 + 3 + 64 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 257014029 + ... + 257015571.

Almost surely, 2^396573836400 is an apocalyptic number.

396573836400 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 396573836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844403668992).

396573836400 is an abundant number, since it is smaller than the sum of its proper divisors (1292233501584).

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

396573836400 is a wasteful number, since it uses less digits than its factorization.

396573836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1638 counting only the distinct ones).

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

The spelling of 396573836400 in words is "three hundred ninety-six billion, five hundred seventy-three million, eight hundred thirty-six thousand, four hundred".