364400320 has 28 divisors (see below), whose sum is σ = 867729024. Its totient is φ = 145760000.

The previous prime is 364400303. The next prime is 364400357. The reversal of 364400320 is 23004463.

It is a super-2 number, since 2×364400320² = 265575186432204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364400291 and 364400300.

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 3 ways as a sum of consecutive naturals, for example, 569056 + ... + 569695.

Almost surely, 2^364400320 is an apocalyptic number.

It is an amenable number.

364400320 is an abundant number, since it is smaller than the sum of its proper divisors (503328704).

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

364400320 is a wasteful number, since it uses less digits than its factorization.

364400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138768 (or 1138758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 364400320 is about 19089.2723800568. The cubic root of 364400320 is about 714.2653513433.

Adding to 364400320 its reverse (23004463), we get a palindrome (387404783).

The spelling of 364400320 in words is "three hundred sixty-four million, four hundred thousand, three hundred twenty".