255415680 has 320 divisors, whose sum is σ = 984891600. Its totient is φ = 62705664.

The previous prime is 255415679. The next prime is 255415687. The reversal of 255415680 is 86514552.

255415680 is a `hidden beast` number, since 2 + 55 + 41 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255415687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673731 + ... + 674109.

Almost surely, 2^255415680 is an apocalyptic number.

255415680 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 255415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492445800).

255415680 is an abundant number, since it is smaller than the sum of its proper divisors (729475920).

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

255415680 is a wasteful number, since it uses less digits than its factorization.

255415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 255415680 is about 15981.7295684791. The cubic root of 255415680 is about 634.4769537091.

The spelling of 255415680 in words is "two hundred fifty-five million, four hundred fifteen thousand, six hundred eighty".