957145800 has 192 divisors, whose sum is σ = 3214169280. Its totient is φ = 234224640.

The previous prime is 957145771. The next prime is 957145807. The reversal of 957145800 is 8541759.

It is a super-2 number, since 2×957145800² = 1832256164915280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (957145807) by changing a digit.

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, 2160379 + ... + 2160821.

It is an arithmetic number, because the mean of its divisors is an integer number (16740465).

Almost surely, 2^957145800 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 957145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607084640).

957145800 is an abundant number, since it is smaller than the sum of its proper divisors (2257023480).

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

957145800 is a wasteful number, since it uses less digits than its factorization.

957145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 957145800 is about 30937.7730290983. The cubic root of 957145800 is about 985.5062116694.

The spelling of 957145800 in words is "nine hundred fifty-seven million, one hundred forty-five thousand, eight hundred".