857984400 has 720 divisors, whose sum is σ = 3839448704. Its totient is φ = 179159040.

The previous prime is 857984383. The next prime is 857984429. The reversal of 857984400 is 4489758.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×857984400² = 1472274461286720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845152 + ... + 8845248.

Almost surely, 2^857984400 is an apocalyptic number.

857984400 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 857984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919724352).

857984400 is an abundant number, since it is smaller than the sum of its proper divisors (2981464304).

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

857984400 is a wasteful number, since it uses less digits than its factorization.

857984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 857984400 is about 29291.3707429338. The cubic root of 857984400 is about 950.2250251801.

The spelling of 857984400 in words is "eight hundred fifty-seven million, nine hundred eighty-four thousand, four hundred".