857421600 has 432 divisors, whose sum is σ = 3398407488. Its totient is φ = 186869760.

The previous prime is 857421589. The next prime is 857421601. The reversal of 857421600 is 6124758.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857421601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704642 + ... + 2704958.

It is an arithmetic number, because the mean of its divisors is an integer number (7866684).

Almost surely, 2^857421600 is an apocalyptic number.

857421600 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 857421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699203744).

857421600 is an abundant number, since it is smaller than the sum of its proper divisors (2540985888).

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

857421600 is a wasteful number, since it uses less digits than its factorization.

857421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 857421600 is about 29281.7622420509. The cubic root of 857421600 is about 950.0172111379.

The spelling of 857421600 in words is "eight hundred fifty-seven million, four hundred twenty-one thousand, six hundred".