256749696 has 128 divisors (see below), whose sum is σ = 866102400. Its totient is φ = 73350144.

The previous prime is 256749683. The next prime is 256749709. The reversal of 256749696 is 696947652.

256749696 is a `hidden beast` number, since 2 + 5 + 67 + 496 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (256749683) and next prime (256749709).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18886 + ... + 29498.

It is an arithmetic number, because the mean of its divisors is an integer number (6766425).

Almost surely, 2^256749696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433051200).

256749696 is an abundant number, since it is smaller than the sum of its proper divisors (609352704).

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

256749696 is a wasteful number, since it uses less digits than its factorization.

256749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643 (or 10625 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 256749696 is about 16023.4108728448. The cubic root of 256749696 is about 635.5796439125.

The spelling of 256749696 in words is "two hundred fifty-six million, seven hundred forty-nine thousand, six hundred ninety-six".