364328496 has 320 divisors, whose sum is σ = 1335628800. Its totient is φ = 92565504.

The previous prime is 364328491. The next prime is 364328509. The reversal of 364328496 is 694823463.

364328496 is a `hidden beast` number, since 364 + 3 + 284 + 9 + 6 = 666.

364328496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364328491) 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, 976566 + ... + 976938.

It is an arithmetic number, because the mean of its divisors is an integer number (4173840).

Almost surely, 2^364328496 is an apocalyptic number.

364328496 is a gapful number since it is divisible by the number (36) 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 364328496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667814400).

364328496 is an abundant number, since it is smaller than the sum of its proper divisors (971300304).

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

364328496 is a wasteful number, since it uses less digits than its factorization.

364328496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 364328496 is about 19087.3910212999. The cubic root of 364328496 is about 714.2184205709.

The spelling of 364328496 in words is "three hundred sixty-four million, three hundred twenty-eight thousand, four hundred ninety-six".