1459796256 has 216 divisors, whose sum is σ = 4575474540. Its totient is φ = 456855552.

The previous prime is 1459796249. The next prime is 1459796297. The reversal of 1459796256 is 6526979541.

1459796256 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 7 + 9 + 625 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1247219856 + 212576400 = 35316^2 + 14580^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3568980 + ... + 3569388.

Almost surely, 2^1459796256 is an apocalyptic number.

1459796256 is a gapful number since it is divisible by the number (16) 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 1459796256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287737270).

1459796256 is an abundant number, since it is smaller than the sum of its proper divisors (3115678284).

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

1459796256 is an frugal number, since it uses more digits than its factorization.

1459796256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 431 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 1459796256 is about 38207.2801439726. The cubic root of 1459796256 is about 1134.3944206224.

The spelling of 1459796256 in words is "one billion, four hundred fifty-nine million, seven hundred ninety-six thousand, two hundred fifty-six".