364830920 has 64 divisors (see below), whose sum is σ = 858021120. Its totient is φ = 139474944.

The previous prime is 364830901. The next prime is 364830923. The reversal of 364830920 is 29038463.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (364830923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78584 + ... + 83096.

It is an arithmetic number, because the mean of its divisors is an integer number (13406580).

Almost surely, 2^364830920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429010560).

364830920 is an abundant number, since it is smaller than the sum of its proper divisors (493190200).

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

364830920 is a wasteful number, since it uses less digits than its factorization.

364830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 364830920 is about 19100.5476361281. The cubic root of 364830920 is about 714.5465819728.

The spelling of 364830920 in words is "three hundred sixty-four million, eight hundred thirty thousand, nine hundred twenty".