952400226024 has 144 divisors (see below), whose sum is σ = 2799592735680. Its totient is φ = 292364691840.

The previous prime is 952400225963. The next prime is 952400226079. The reversal of 952400226024 is 420622004259.

It is a happy number.

952400226024 is a `hidden beast` number, since 9 + 5 + 2 + 40 + 0 + 2 + 2 + 602 + 4 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 952400226024.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5153607 + ... + 5335209.

It is an arithmetic number, because the mean of its divisors is an integer number (19441616220).

Almost surely, 2^952400226024 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 952400226024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399796367840).

952400226024 is an abundant number, since it is smaller than the sum of its proper divisors (1847192509656).

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

952400226024 is a wasteful number, since it uses less digits than its factorization.

952400226024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182072 (or 182052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 952400226024 in words is "nine hundred fifty-two billion, four hundred million, two hundred twenty-six thousand, twenty-four".