952116480 has 216 divisors, whose sum is σ = 3765146112. Its totient is φ = 217608192.

The previous prime is 952116469. The next prime is 952116499. The reversal of 952116480 is 84611259.

952116480 is a `hidden beast` number, since 9 + 5 + 2 + 1 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74737 + ... + 86543.

It is an arithmetic number, because the mean of its divisors is an integer number (17431232).

Almost surely, 2^952116480 is an apocalyptic number.

952116480 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 952116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882573056).

952116480 is an abundant number, since it is smaller than the sum of its proper divisors (2813029632).

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

952116480 is a wasteful number, since it uses less digits than its factorization.

952116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11841 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 952116480 is about 30856.3847525921. The cubic root of 952116480 is about 983.7770662918. Note that the first 3 decimals are identical.

The spelling of 952116480 in words is "nine hundred fifty-two million, one hundred sixteen thousand, four hundred eighty".