255697920 has 264 divisors, whose sum is σ = 919676160. Its totient is φ = 65617920.

The previous prime is 255697919. The next prime is 255697927. The reversal of 255697920 is 29796552.

255697920 is a `hidden beast` number, since 2 + 556 + 9 + 7 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (255697927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428391 + ... + 1428569.

Almost surely, 2^255697920 is an apocalyptic number.

255697920 is a gapful number since it is divisible by the number (20) 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 255697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

255697920 is an abundant number, since it is smaller than the sum of its proper divisors (663978240).

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

255697920 is a wasteful number, since it uses less digits than its factorization.

255697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 255697920 is about 15990.5572135558. The cubic root of 255697920 is about 634.7105713886.

It can be divided in two parts, 25569 and 7920, that added together give a square (33489 = 183²).

The spelling of 255697920 in words is "two hundred fifty-five million, six hundred ninety-seven thousand, nine hundred twenty".