364478400 has 672 divisors, whose sum is σ = 1587398400. Its totient is φ = 80179200.

The previous prime is 364478383. The next prime is 364478423. The reversal of 364478400 is 4874463.

364478400 is a `hidden beast` number, since 3 + 644 + 7 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 6177571 + ... + 6177629.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^364478400 is an apocalyptic number.

364478400 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 364478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

364478400 is an abundant number, since it is smaller than the sum of its proper divisors (1222920000).

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

364478400 is a wasteful number, since it uses less digits than its factorization.

364478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 364478400 is about 19091.3173982311. The cubic root of 364478400 is about 714.3163628754.

The spelling of 364478400 in words is "three hundred sixty-four million, four hundred seventy-eight thousand, four hundred".