5790408100 has 18 divisors (see below), whose sum is σ = 12565185794. Its totient is φ = 2316163200.

The previous prime is 5790408089. The next prime is 5790408119. The reversal of 5790408100 is 18040975.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 952092736 + 4838315364 = 30856^2 + 69558^2 .

It is a super-2 number, since 2×5790408100² = 67057651929091220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28951941 + ... + 28952140.

Almost surely, 2^5790408100 is an apocalyptic number.

5790408100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5790408100 is an abundant number, since it is smaller than the sum of its proper divisors (6774777694).

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

5790408100 is a wasteful number, since it uses less digits than its factorization.

5790408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57904095 (or 57904088 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 5790408100 is about 76094.7310922379. The cubic root of 5790408100 is about 1795.7107853037.

The spelling of 5790408100 in words is "five billion, seven hundred ninety million, four hundred eight thousand, one hundred".