957225600 has 288 divisors, whose sum is σ = 3544981440. Its totient is φ = 255052800.

The previous prime is 957225589. The next prime is 957225601. The reversal of 957225600 is 6522759.

957225600 is a `hidden beast` number, since 9 + 572 + 25 + 60 + 0 = 666.

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

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 (957225601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776985 + ... + 778215.

Almost surely, 2^957225600 is an apocalyptic number.

957225600 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 957225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772490720).

957225600 is an abundant number, since it is smaller than the sum of its proper divisors (2587755840).

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

957225600 is a wasteful number, since it uses less digits than its factorization.

957225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 957225600 is about 30939.0626878062. The cubic root of 957225600 is about 985.5335990713.

The spelling of 957225600 in words is "nine hundred fifty-seven million, two hundred twenty-five thousand, six hundred".