4000260456 has 48 divisors (see below), whose sum is σ = 11404255200. Its totient is φ = 1263239712.

The previous prime is 4000260443. The next prime is 4000260457. The reversal of 4000260456 is 6540620004.

It is a happy number.

4000260456 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 2 + 604 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (4000260457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460716 + ... + 1463451.

It is an arithmetic number, because the mean of its divisors is an integer number (237588650).

Almost surely, 2^4000260456 is an apocalyptic number.

It is an amenable number.

4000260456 is an abundant number, since it is smaller than the sum of its proper divisors (7403994744).

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

4000260456 is a wasteful number, since it uses less digits than its factorization.

4000260456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924198 (or 2924191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4000260456 is about 63247.6122553255. The cubic root of 4000260456 is about 1587.4355052311.

The spelling of 4000260456 in words is "four billion, two hundred sixty thousand, four hundred fifty-six".