408109140 has 144 divisors (see below), whose sum is σ = 1319350032. Its totient is φ = 101756928.

The previous prime is 408109139. The next prime is 408109153. The reversal of 408109140 is 41901804.

It can be written as a sum of positive squares in 8 ways, for example, as 190605636 + 217503504 = 13806^2 + 14748^2 .

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, 602482 + ... + 603158.

It is an arithmetic number, because the mean of its divisors is an integer number (9162153).

Almost surely, 2^408109140 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 408109140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659675016).

408109140 is an abundant number, since it is smaller than the sum of its proper divisors (911240892).

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

408109140 is a wasteful number, since it uses less digits than its factorization.

408109140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 408109140 is about 20201.7113136487. The cubic root of 408109140 is about 741.7520816214.

The spelling of 408109140 in words is "four hundred eight million, one hundred nine thousand, one hundred forty".