255277440 has 512 divisors, whose sum is σ = 1057536000. Its totient is φ = 57507840.

The previous prime is 255277417. The next prime is 255277441. The reversal of 255277440 is 44772552.

It is a happy number.

255277440 is a `hidden beast` number, since 25 + 527 + 74 + 40 = 666.

255277440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255277395 and 255277404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255277441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231321 + ... + 3231399.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^255277440 is an apocalyptic number.

255277440 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 255277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

255277440 is an abundant number, since it is smaller than the sum of its proper divisors (802258560).

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

255277440 is a wasteful number, since it uses less digits than its factorization.

255277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 255277440 is about 15977.4040444623. The cubic root of 255277440 is about 634.3624659288.

The spelling of 255277440 in words is "two hundred fifty-five million, two hundred seventy-seven thousand, four hundred forty".