5408059904 has 120 divisors (see below), whose sum is σ = 11878294428. Its totient is φ = 2445189120.

The previous prime is 5408059903. The next prime is 5408059919. The reversal of 5408059904 is 4099508045.

It can be written as a sum of positive squares in 2 ways, for example, as 4000309504 + 1407750400 = 63248^2 + 37520^2 .

It is a super-2 number, since 2×5408059904² = 58494223850504978432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5408059901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29878694 + ... + 29878874.

Almost surely, 2^5408059904 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 5408059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939147214).

5408059904 is an abundant number, since it is smaller than the sum of its proper divisors (6470234524).

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

5408059904 is an equidigital number, since it uses as much as digits as its factorization.

5408059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 5408059904 is about 73539.5125357790. The cubic root of 5408059904 is about 1755.2830720632.

The spelling of 5408059904 in words is "five billion, four hundred eight million, fifty-nine thousand, nine hundred four".