4290560904 has 128 divisors (see below), whose sum is σ = 12890246400. Its totient is φ = 1164119040.

The previous prime is 4290560903. The next prime is 4290560971. The reversal of 4290560904 is 4090650924.

It is a super-4 number, since 4×4290560904⁴ (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (4290560903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289974 + ... + 304410.

It is an arithmetic number, because the mean of its divisors is an integer number (100705050).

Almost surely, 2^4290560904 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 4290560904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445123200).

4290560904 is an abundant number, since it is smaller than the sum of its proper divisors (8599685496).

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

4290560904 is a wasteful number, since it uses less digits than its factorization.

4290560904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 4290560904 is about 65502.3732699816. The cubic root of 4290560904 is about 1624.9425972938.

The spelling of 4290560904 in words is "four billion, two hundred ninety million, five hundred sixty thousand, nine hundred four".