364220400 has 120 divisors (see below), whose sum is σ = 1172250864. Its totient is φ = 96665600.

The previous prime is 364220323. The next prime is 364220413. The reversal of 364220400 is 4022463.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307810 + ... + 308990.

Almost surely, 2^364220400 is an apocalyptic number.

364220400 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 364220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586125432).

364220400 is an abundant number, since it is smaller than the sum of its proper divisors (808030464).

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

364220400 is a wasteful number, since it uses less digits than its factorization.

364220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1448 counting only the distinct ones).

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

The square root of 364220400 is about 19084.5592037123. The cubic root of 364220400 is about 714.1477775550.

Adding to 364220400 its reverse (4022463), we get a palindrome (368242863).

It can be divided in two parts, 3642 and 20400, that added together give a palindrome (24042).

The spelling of 364220400 in words is "three hundred sixty-four million, two hundred twenty thousand, four hundred".