364746920 has 64 divisors (see below), whose sum is σ = 858762000. Its totient is φ = 139245568.

The previous prime is 364746919. The next prime is 364746923. The reversal of 364746920 is 29647463.

It can be written as a sum of positive squares in 8 ways, for example, as 163277284 + 201469636 = 12778^2 + 14194^2 .

It is not an unprimeable number, because it can be changed into a prime (364746923) 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, 101474 + ... + 105006.

Almost surely, 2^364746920 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 364746920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429381000).

364746920 is an abundant number, since it is smaller than the sum of its proper divisors (494015080).

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

364746920 is a wasteful number, since it uses less digits than its factorization.

364746920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 364746920 is about 19098.3486197106. The cubic root of 364746920 is about 714.4917378274.

The spelling of 364746920 in words is "three hundred sixty-four million, seven hundred forty-six thousand, nine hundred twenty".