396364800 has 264 divisors, whose sum is σ = 1414329616. Its totient is φ = 97320960.

The previous prime is 396364777. The next prime is 396364811. The reversal of 396364800 is 8463693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998202 + ... + 998598.

Almost surely, 2^396364800 is an apocalyptic number.

396364800 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 396364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707164808).

396364800 is an abundant number, since it is smaller than the sum of its proper divisors (1017964816).

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

396364800 is a wasteful number, since it uses less digits than its factorization.

396364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 396364800 is about 19908.9125770344. The cubic root of 396364800 is about 734.5674719289.

The spelling of 396364800 in words is "three hundred ninety-six million, three hundred sixty-four thousand, eight hundred".