956484 has 27 divisors (see below), whose sum is σ = 2432703. Its totient is φ = 316872.

The previous prime is 956477. The next prime is 956503. The reversal of 956484 is 484659.

The square root of 956484 is 978.

It is a perfect power (a square), and thus also a powerful number.

956484 is a `hidden beast` number, since 9 + 5 + 648 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 956484.

It is an unprimeable number.

956484 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 8 ways as a sum of consecutive naturals, for example, 5787 + ... + 5949.

2⁹⁵⁶⁴⁸⁴ is an apocalyptic number.

956484 is the 978-th square number.

It is an amenable number.

956484 is an abundant number, since it is smaller than the sum of its proper divisors (1476219).

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

956484 is a wasteful number, since it uses less digits than its factorization.

956484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 956484 is about 98.5279022880.

Multiplying 956484 by its sum of digits (36), we get a square (34433424 = 5868²).

956484 divided by its sum of digits (36) gives a square (26569 = 163²).

The spelling of 956484 in words is "nine hundred fifty-six thousand, four hundred eighty-four".