364295904 has 96 divisors (see below), whose sum is σ = 1110928896. Its totient is φ = 102366720.

The previous prime is 364295903. The next prime is 364295909. The reversal of 364295904 is 409592463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364295903) 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, 36549 + ... + 45435.

It is an arithmetic number, because the mean of its divisors is an integer number (11572176).

Almost surely, 2^364295904 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 364295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555464448).

364295904 is an abundant number, since it is smaller than the sum of its proper divisors (746632992).

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

364295904 is a wasteful number, since it uses less digits than its factorization.

364295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 364295904 is about 19086.5372448750. The cubic root of 364295904 is about 714.1971224830.

The spelling of 364295904 in words is "three hundred sixty-four million, two hundred ninety-five thousand, nine hundred four".