952009632 has 288 divisors, whose sum is σ = 3274992000. Its totient is φ = 268240896.

The previous prime is 952009631. The next prime is 952009657. The reversal of 952009632 is 236900259.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (952009631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4783869 + ... + 4784067.

It is an arithmetic number, because the mean of its divisors is an integer number (11371500).

Almost surely, 2^952009632 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 952009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496000).

952009632 is an abundant number, since it is smaller than the sum of its proper divisors (2322982368).

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

952009632 is a wasteful number, since it uses less digits than its factorization.

952009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 952009632 is about 30854.6533281448. The cubic root of 952009632 is about 983.7402645816.

The spelling of 952009632 in words is "nine hundred fifty-two million, nine thousand, six hundred thirty-two".