364566400 has 96 divisors (see below), whose sum is σ = 982559880. Its totient is φ = 132556800.

The previous prime is 364566373. The next prime is 364566409. The reversal of 364566400 is 4665463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364566409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30022 + ... + 40378.

Almost surely, 2^364566400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491279940).

364566400 is an abundant number, since it is smaller than the sum of its proper divisors (617993480).

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

364566400 is a wasteful number, since it uses less digits than its factorization.

364566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 364566400 is about 19093.6219717475. The cubic root of 364566400 is about 714.3738466491.

The spelling of 364566400 in words is "three hundred sixty-four million, five hundred sixty-six thousand, four hundred".