396057600 has 330 divisors, whose sum is σ = 1474233024. Its totient is φ = 105062400.

The previous prime is 396057593. The next prime is 396057601. The reversal of 396057600 is 6750693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073505 + ... + 2073695.

Almost surely, 2^396057600 is an apocalyptic number.

396057600 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 396057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737116512).

396057600 is an abundant number, since it is smaller than the sum of its proper divisors (1078175424).

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

396057600 is a wasteful number, since it uses less digits than its factorization.

396057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 396057600 is about 19901.1959439628. The cubic root of 396057600 is about 734.3776489417.

The spelling of 396057600 in words is "three hundred ninety-six million, fifty-seven thousand, six hundred".