329564952 has 48 divisors (see below), whose sum is σ = 900492840. Its totient is φ = 108880128.

The previous prime is 329564927. The next prime is 329564959. The reversal of 329564952 is 259465923.

329564952 is a `hidden beast` number, since 32 + 9 + 564 + 9 + 52 = 666.

329564952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×329564952² = 217226115173524608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 329564898 and 329564907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329564959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12118 + ... + 28389.

Almost surely, 2^329564952 is an apocalyptic number.

It is an amenable number.

329564952 is an abundant number, since it is smaller than the sum of its proper divisors (570927888).

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

329564952 is a wasteful number, since it uses less digits than its factorization.

329564952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40632 (or 40625 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 329564952 is about 18153.9238733669. The cubic root of 329564952 is about 690.7385161427.

The spelling of 329564952 in words is "three hundred twenty-nine million, five hundred sixty-four thousand, nine hundred fifty-two".