256562460 has 288 divisors, whose sum is σ = 985001472. Its totient is φ = 52508160.

The previous prime is 256562429. The next prime is 256562483. The reversal of 256562460 is 64265652.

256562460 is a `hidden beast` number, since 2 + 56 + 562 + 46 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482934 + ... + 1483106.

It is an arithmetic number, because the mean of its divisors is an integer number (3420144).

Almost surely, 2^256562460 is an apocalyptic number.

256562460 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 256562460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492500736).

256562460 is an abundant number, since it is smaller than the sum of its proper divisors (728439012).

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

256562460 is a wasteful number, since it uses less digits than its factorization.

256562460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 256562460 is about 16017.5672310123. The cubic root of 256562460 is about 635.4251064626.

It can be divided in two parts, 2565 and 62460, that added together give a square (65025 = 255²).

The spelling of 256562460 in words is "two hundred fifty-six million, five hundred sixty-two thousand, four hundred sixty".