359885952 has 48 divisors (see below), whose sum is σ = 1035612630. Its totient is φ = 119961600.

The previous prime is 359885923. The next prime is 359885957. The reversal of 359885952 is 259588953.

It can be written as a sum of positive squares in only one way, i.e., 257795136 + 102090816 = 16056^2 + 10104^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (359885957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155049 + ... + 157352.

Almost surely, 2^359885952 is an apocalyptic number.

359885952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

359885952 is an abundant number, since it is smaller than the sum of its proper divisors (675726678).

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

359885952 is a wasteful number, since it uses less digits than its factorization.

359885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312421 (or 312406 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The square root of 359885952 is about 18970.6602942544. The cubic root of 359885952 is about 711.3035313772.

The spelling of 359885952 in words is "three hundred fifty-nine million, eight hundred eighty-five thousand, nine hundred fifty-two".