364449056400 has 960 divisors, whose sum is σ = 1530475376640. Its totient is φ = 81206323200.

The previous prime is 364449056369. The next prime is 364449056417. The reversal of 364449056400 is 4650944463.

364449056400 is a `hidden beast` number, since 3 + 6 + 44 + 49 + 0 + 564 + 0 + 0 = 666.

It is a super-2 number, since 2×364449056400² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 566794479 + ... + 566795121.

It is an arithmetic number, because the mean of its divisors is an integer number (1594245184).

Almost surely, 2^364449056400 is an apocalyptic number.

364449056400 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 364449056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765237688320).

364449056400 is an abundant number, since it is smaller than the sum of its proper divisors (1166026320240).

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

364449056400 is a wasteful number, since it uses less digits than its factorization.

364449056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 364449056400 in words is "three hundred sixty-four billion, four hundred forty-nine million, fifty-six thousand, four hundred".