364274400 has 144 divisors (see below), whose sum is σ = 1355163264. Its totient is φ = 83258880.

The previous prime is 364274399. The next prime is 364274401. The reversal of 364274400 is 4472463.

It is an interprime number because it is at equal distance from previous prime (364274399) and next prime (364274401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364274401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5959 + ... + 27641.

It is an arithmetic number, because the mean of its divisors is an integer number (9410856).

Almost surely, 2^364274400 is an apocalyptic number.

364274400 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 364274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677581632).

364274400 is an abundant number, since it is smaller than the sum of its proper divisors (990888864).

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

364274400 is a wasteful number, since it uses less digits than its factorization.

364274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21713 (or 21700 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 364274400 is about 19085.9739075584. The cubic root of 364274400 is about 714.1830694408.

The spelling of 364274400 in words is "three hundred sixty-four million, two hundred seventy-four thousand, four hundred".