408560040 has 576 divisors, whose sum is σ = 1728604800. Its totient is φ = 83026944.

The previous prime is 408560011. The next prime is 408560051. The reversal of 408560040 is 40065804.

It is a junction number, because it is equal to n+sod(n) for n = 408559986 and 408560013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7708654 + ... + 7708706.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2^408560040 is an apocalyptic number.

408560040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864302400).

408560040 is an abundant number, since it is smaller than the sum of its proper divisors (1320044760).

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

408560040 is a wasteful number, since it uses less digits than its factorization.

408560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 408560040 is about 20212.8681784649. The cubic root of 408560040 is about 742.0251563798.

The spelling of 408560040 in words is "four hundred eight million, five hundred sixty thousand, forty".