1256290560 has 432 divisors, whose sum is σ = 5160494976. Its totient is φ = 286654464.

The previous prime is 1256290549. The next prime is 1256290577. The reversal of 1256290560 is 650926521.

1256290560 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1256290560² = 3156531942290227200, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176992 + ... + 2177568.

Almost surely, 2^1256290560 is an apocalyptic number.

1256290560 is a gapful number since it is divisible by the number (10) 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 1256290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580247488).

1256290560 is an abundant number, since it is smaller than the sum of its proper divisors (3904204416).

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

1256290560 is an frugal number, since it uses more digits than its factorization.

1256290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1256290560 is about 35444.1893686398. The cubic root of 1256290560 is about 1079.0213356531.

The spelling of 1256290560 in words is "one billion, two hundred fifty-six million, two hundred ninety thousand, five hundred sixty".