952248960 has 448 divisors, whose sum is σ = 3699105480. Its totient is φ = 232906752.

The previous prime is 952248949. The next prime is 952248989. The reversal of 952248960 is 69842259.

952248960 is a `hidden beast` number, since 95 + 22 + 489 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 494973504 + 457275456 = 22248^2 + 21384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065202 + ... + 6065358.

Almost surely, 2^952248960 is an apocalyptic number.

952248960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849552740).

952248960 is an abundant number, since it is smaller than the sum of its proper divisors (2746856520).

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

952248960 is a wasteful number, since it uses less digits than its factorization.

952248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 952248960 is about 30858.5313973300. The cubic root of 952248960 is about 983.8226926215.

The spelling of 952248960 in words is "nine hundred fifty-two million, two hundred forty-eight thousand, nine hundred sixty".