302952 has 32 divisors (see below), whose sum is σ = 816480. Its totient is φ = 93120.

The previous prime is 302941. The next prime is 302959. The reversal of 302952 is 259203.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 302952.

It is not an unprimeable number, because it can be changed into a prime (302959) by changing a digit.

302952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2³⁰²⁹⁵² is an apocalyptic number.

It is an amenable number.

302952 is an abundant number, since it is smaller than the sum of its proper divisors (513528).

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

302952 is a wasteful number, since it uses less digits than its factorization.

302952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 302952 is about 550.4107557089. The cubic root of 302952 is about 67.1621527246.

It can be divided in two parts, 3029 and 52, that added together give a triangular number (3081 = T₇₈).

The spelling of 302952 in words is "three hundred two thousand, nine hundred fifty-two".