1256411520 has 1024 divisors, whose sum is σ = 5922201600. Its totient is φ = 244187136.

The previous prime is 1256411509. The next prime is 1256411557. The reversal of 1256411520 is 251146521.

1256411520 is a `hidden beast` number, since 1 + 2 + 5 + 641 + 15 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26732137 + ... + 26732183.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^1256411520 is an apocalyptic number.

1256411520 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 1256411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961100800).

1256411520 is an abundant number, since it is smaller than the sum of its proper divisors (4665790080).

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

1256411520 is a wasteful number, since it uses less digits than its factorization.

1256411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1256411520 is about 35445.8956721367. The cubic root of 1256411520 is about 1079.0559651771.

The spelling of 1256411520 in words is "one billion, two hundred fifty-six million, four hundred eleven thousand, five hundred twenty".