364482720 has 384 divisors, whose sum is σ = 1545868800. Its totient is φ = 78299136.

The previous prime is 364482709. The next prime is 364482721. The reversal of 364482720 is 27284463.

364482720 is a `hidden beast` number, since 3 + 644 + 8 + 2 + 7 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (364482721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513726 + ... + 514434.

It is an arithmetic number, because the mean of its divisors is an integer number (4025700).

Almost surely, 2^364482720 is an apocalyptic number.

364482720 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 364482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772934400).

364482720 is an abundant number, since it is smaller than the sum of its proper divisors (1181386080).

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

364482720 is a wasteful number, since it uses less digits than its factorization.

364482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

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

The square root of 364482720 is about 19091.4305383332. The cubic root of 364482720 is about 714.3191850220.

The spelling of 364482720 in words is "three hundred sixty-four million, four hundred eighty-two thousand, seven hundred twenty".