957852000 has 576 divisors, whose sum is σ = 4078226880. Its totient is φ = 217728000.

The previous prime is 957851971. The next prime is 957852019. The reversal of 957852000 is 258759.

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 95 ways as a sum of consecutive naturals, for example, 5291910 + ... + 5292090.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^957852000 is an apocalyptic number.

957852000 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 957852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039113440).

957852000 is an abundant number, since it is smaller than the sum of its proper divisors (3120374880).

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

957852000 is a wasteful number, since it uses less digits than its factorization.

957852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 957852000 is about 30949.1841572601. The cubic root of 957852000 is about 985.7485270309.

The spelling of 957852000 in words is "nine hundred fifty-seven million, eight hundred fifty-two thousand".