364972080 has 80 divisors (see below), whose sum is σ = 1234278144. Its totient is φ = 88477440.

The previous prime is 364972079. The next prime is 364972081. The reversal of 364972080 is 80279463.

It is an interprime number because it is at equal distance from previous prime (364972079) and next prime (364972081).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (364972081) 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, 66484 + ... + 71763.

Almost surely, 2^364972080 is an apocalyptic number.

364972080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364972080 is an abundant number, since it is smaller than the sum of its proper divisors (869306064).

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

364972080 is a wasteful number, since it uses less digits than its factorization.

364972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138274 (or 138268 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 364972080 is about 19104.2424607729. The cubic root of 364972080 is about 714.6387272963.

The spelling of 364972080 in words is "three hundred sixty-four million, nine hundred seventy-two thousand, eighty".