857624166400 has 135 divisors (see below), whose sum is σ = 2128313869689. Its totient is φ = 342812590080.

The previous prime is 857624166397. The next prime is 857624166407. The reversal of 857624166400 is 4661426758.

The square root of 857624166400 is 926080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 308744699904 + 548879466496 = 555648^2 + 740864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (857624166407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592690477 + ... + 592691923.

Almost surely, 2^857624166400 is an apocalyptic number.

857624166400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

857624166400 is the 926080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857624166400

857624166400 is an abundant number, since it is smaller than the sum of its proper divisors (1270689703289).

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

857624166400 is an frugal number, since it uses more digits than its factorization.

857624166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 857624166400 by its sum of digits (49), we get a square (42023584153600 = 6482560²).

The spelling of 857624166400 in words is "eight hundred fifty-seven billion, six hundred twenty-four million, one hundred sixty-six thousand, four hundred".