1256434560 has 96 divisors (see below), whose sum is σ = 4338645480. Its totient is φ = 335047680.

The previous prime is 1256434549. The next prime is 1256434573. The reversal of 1256434560 is 654346521.

1256434560 is a `hidden beast` number, since 1 + 2 + 5 + 64 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 103306 + ... + 114825.

Almost surely, 2^1256434560 is an apocalyptic number.

1256434560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256434560 is an abundant number, since it is smaller than the sum of its proper divisors (3082210920).

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

1256434560 is a wasteful number, since it uses less digits than its factorization.

1256434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218156 (or 218141 counting only the distinct ones).

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

The square root of 1256434560 is about 35446.2206730139. The cubic root of 1256434560 is about 1079.0625610249.

The spelling of 1256434560 in words is "one billion, two hundred fifty-six million, four hundred thirty-four thousand, five hundred sixty".