814980944 has 40 divisors (see below), whose sum is σ = 1661305128. Its totient is φ = 386795520.

The previous prime is 814980941. The next prime is 814980953. The reversal of 814980944 is 449089418.

It can be written as a sum of positive squares in 4 ways, for example, as 153462544 + 661518400 = 12388^2 + 25720^2 .

It is a super-2 number, since 2×814980944² = 1328387878166262272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814980941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7484 + ... + 41060.

Almost surely, 2^814980944 is an apocalyptic number.

It is an amenable number.

814980944 is an abundant number, since it is smaller than the sum of its proper divisors (846324184).

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

814980944 is a wasteful number, since it uses less digits than its factorization.

814980944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33663 (or 33657 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 814980944 is about 28547.8710940063. The cubic root of 814980944 is about 934.0765832473.

The spelling of 814980944 in words is "eight hundred fourteen million, nine hundred eighty thousand, nine hundred forty-four".