364004400 has 60 divisors (see below), whose sum is σ = 1166031272. Its totient is φ = 97067520.

The previous prime is 364004383. The next prime is 364004401. The reversal of 364004400 is 4400463.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (364004401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150469 + ... + 152868.

Almost surely, 2^364004400 is an apocalyptic number.

364004400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364004400 is an abundant number, since it is smaller than the sum of its proper divisors (802026872).

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

364004400 is a wasteful number, since it uses less digits than its factorization.

364004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303358 (or 303347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 364004400 is about 19078.8993393225. The cubic root of 364004400 is about 714.0065751185.

Adding to 364004400 its reverse (4400463), we get a palindrome (368404863).

The spelling of 364004400 in words is "three hundred sixty-four million, four thousand, four hundred".