4076558460 has 144 divisors (see below), whose sum is σ = 13349175840. Its totient is φ = 1001018880.

The previous prime is 4076558417. The next prime is 4076558527. The reversal of 4076558460 is 648556704.

4076558460 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 5 + 584 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076851 + ... + 1080629.

It is an arithmetic number, because the mean of its divisors is an integer number (92702610).

Almost surely, 2^4076558460 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 4076558460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674587920).

4076558460 is an abundant number, since it is smaller than the sum of its proper divisors (9272617380).

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

4076558460 is a wasteful number, since it uses less digits than its factorization.

4076558460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4076558460 is about 63847.9323079456. The cubic root of 4076558460 is about 1597.4645337332.

It can be divided in two parts, 40765 and 58460, that added together give a square (99225 = 315²).

The spelling of 4076558460 in words is "four billion, seventy-six million, five hundred fifty-eight thousand, four hundred sixty".