396765600 has 576 divisors, whose sum is σ = 1709890560. Its totient is φ = 77414400.

The previous prime is 396765557. The next prime is 396765667. The reversal of 396765600 is 6567693.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3511144 + ... + 3511256.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^396765600 is an apocalyptic number.

396765600 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 396765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

396765600 is an abundant number, since it is smaller than the sum of its proper divisors (1313124960).

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

396765600 is a wasteful number, since it uses less digits than its factorization.

396765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 396765600 is about 19918.9758772885. The cubic root of 396765600 is about 734.8149842055.

The spelling of 396765600 in words is "three hundred ninety-six million, seven hundred sixty-five thousand, six hundred".