364072980 has 48 divisors (see below), whose sum is σ = 1063730304. Its totient is φ = 92864640.

The previous prime is 364072963. The next prime is 364072981. The reversal of 364072980 is 89270463.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364072981) 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, 130531 + ... + 133290.

It is an arithmetic number, because the mean of its divisors is an integer number (22161048).

Almost surely, 2^364072980 is an apocalyptic number.

364072980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364072980 is an abundant number, since it is smaller than the sum of its proper divisors (699657324).

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

364072980 is a wasteful number, since it uses less digits than its factorization.

364072980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263856 (or 263854 counting only the distinct ones).

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

The square root of 364072980 is about 19080.6965281669. The cubic root of 364072980 is about 714.0514129429.

The spelling of 364072980 in words is "three hundred sixty-four million, seventy-two thousand, nine hundred eighty".