952900 has 36 divisors (see below), whose sum is σ = 2229892. Its totient is φ = 351360.

The previous prime is 952883. The next prime is 952921. The reversal of 952900 is 9259.

952900 = T₈₀ + T₈₁ + ... + T₁₈₃.

952900 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 324 + 952576 = 18^2 + 976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 934 + ... + 1666.

2⁹⁵²⁹⁰⁰ 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 952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114946).

952900 is an abundant number, since it is smaller than the sum of its proper divisors (1276992).

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

952900 is a wasteful number, since it uses less digits than its factorization.

952900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 952900 is about 976.1659694949. The cubic root of 952900 is about 98.4046850392.

It can be divided in two parts, 9 and 52900, that multiplied together give a square (476100 = 690²).

The spelling of 952900 in words is "nine hundred fifty-two thousand, nine hundred".