857012400 has 210 divisors, whose sum is σ = 3088096620. Its totient is φ = 228458880.

The previous prime is 857012393. The next prime is 857012411. The reversal of 857012400 is 4210758.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 290131 + ... + 293069.

It is an arithmetic number, because the mean of its divisors is an integer number (14705222).

Almost surely, 2^857012400 is an apocalyptic number.

857012400 is a gapful number since it is divisible by the number (80) 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 857012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544048310).

857012400 is an abundant number, since it is smaller than the sum of its proper divisors (2231084220).

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

857012400 is a wasteful number, since it uses less digits than its factorization.

857012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 857012400 is about 29274.7741238084. The cubic root of 857012400 is about 949.8660568315.

The spelling of 857012400 in words is "eight hundred fifty-seven million, twelve thousand, four hundred".