957228720 has 240 divisors, whose sum is σ = 3602983680. Its totient is φ = 209223168.

The previous prime is 957228677. The next prime is 957228737. The reversal of 957228720 is 27822759.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268711 + ... + 272249.

It is an arithmetic number, because the mean of its divisors is an integer number (15012432).

Almost surely, 2^957228720 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 957228720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801491840).

957228720 is an abundant number, since it is smaller than the sum of its proper divisors (2645754960).

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

957228720 is a wasteful number, since it uses less digits than its factorization.

957228720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 957228720 is about 30939.1131094607. The cubic root of 957228720 is about 985.5346698260.

The spelling of 957228720 in words is "nine hundred fifty-seven million, two hundred twenty-eight thousand, seven hundred twenty".