952704000 has 264 divisors, whose sum is σ = 3437289648. Its totient is φ = 253747200.

The previous prime is 952703993. The next prime is 952704007. The reversal of 952704000 is 407259.

It is an interprime number because it is at equal distance from previous prime (952703993) and next prime (952704007).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952704007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151587 + ... + 1152413.

Almost surely, 2^952704000 is an apocalyptic number.

952704000 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 952704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718644824).

952704000 is an abundant number, since it is smaller than the sum of its proper divisors (2484585648).

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

952704000 is a wasteful number, since it uses less digits than its factorization.

952704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 952704000 is about 30865.9035182837. The cubic root of 952704000 is about 983.9793769225.

The spelling of 952704000 in words is "nine hundred fifty-two million, seven hundred four thousand".