255953040 has 160 divisors (see below), whose sum is σ = 914512896. Its totient is φ = 58007040.

The previous prime is 255953029. The next prime is 255953041. The reversal of 255953040 is 40359552.

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 junction number, because it is equal to n+sod(n) for n = 255952992 and 255953010.

It is not an unprimeable number, because it can be changed into a prime (255953041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219499 + ... + 220661.

Almost surely, 2^255953040 is an apocalyptic number.

255953040 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 255953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457256448).

255953040 is an abundant number, since it is smaller than the sum of its proper divisors (658559856).

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

255953040 is a wasteful number, since it uses less digits than its factorization.

255953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 255953040 is about 15998.5324326952. The cubic root of 255953040 is about 634.9215932290.

The spelling of 255953040 in words is "two hundred fifty-five million, nine hundred fifty-three thousand, forty".