329978952 has 24 divisors (see below), whose sum is σ = 893693190. Its totient is φ = 109992960.

The previous prime is 329978939. The next prime is 329978983. The reversal of 329978952 is 259879923.

It can be written as a sum of positive squares in only one way, i.e., 300883716 + 29095236 = 17346^2 + 5394^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×329978952² = 217772217526036608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2291449 + ... + 2291592.

Almost surely, 2^329978952 is an apocalyptic number.

It is an amenable number.

329978952 is an abundant number, since it is smaller than the sum of its proper divisors (563714238).

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

329978952 is a wasteful number, since it uses less digits than its factorization.

329978952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583053 (or 4583046 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 329978952 is about 18165.3227882138. The cubic root of 329978952 is about 691.0276307101.

The spelling of 329978952 in words is "three hundred twenty-nine million, nine hundred seventy-eight thousand, nine hundred fifty-two".