952800 has 72 divisors (see below), whose sum is σ = 3109176. Its totient is φ = 253440.

The previous prime is 952789. The next prime is 952811. The reversal of 952800 is 8259.

It is an interprime number because it is at equal distance from previous prime (952789) and next prime (952811).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2202 + ... + 2598.

It is an arithmetic number, because the mean of its divisors is an integer number (43183).

2⁹⁵²⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554588).

952800 is an abundant number, since it is smaller than the sum of its proper divisors (2156376).

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

952800 is a wasteful number, since it uses less digits than its factorization.

952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 952800 is about 976.1147473530. The cubic root of 952800 is about 98.4012426309.

The spelling of 952800 in words is "nine hundred fifty-two thousand, eight hundred".