255853872400 has 135 divisors (see below), whose sum is σ = 715244268591. Its totient is φ = 87697048320.

The previous prime is 255853872359. The next prime is 255853872401. The reversal of 255853872400 is 4278358552.

The square root of 255853872400 is 505820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 157929939216 + 97923933184 = 397404^2 + 312928^2 .

It is a super-2 number, since 2×255853872400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255853872401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70812994 + ... + 70816606.

Almost surely, 2^255853872400 is an apocalyptic number.

255853872400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255853872400 is the 505820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255853872400

255853872400 is an abundant number, since it is smaller than the sum of its proper divisors (459390396191).

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

255853872400 is an frugal number, since it uses more digits than its factorization.

255853872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

Multiplying 255853872400 by its sum of digits (49), we get a square (12536839747600 = 3540740²).

255853872400 divided by its sum of digits (49) gives a square (5221507600 = 72260²).

The spelling of 255853872400 in words is "two hundred fifty-five billion, eight hundred fifty-three million, eight hundred seventy-two thousand, four hundred".