408408440 has 64 divisors (see below), whose sum is σ = 1004728320. Its totient is φ = 148176000.

The previous prime is 408408437. The next prime is 408408463. The reversal of 408408440 is 44804804.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 408408397 and 408408406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276905 + ... + 278375.

It is an arithmetic number, because the mean of its divisors is an integer number (15698880).

Almost surely, 2^408408440 is an apocalyptic number.

408408440 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 408408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502364160).

408408440 is an abundant number, since it is smaller than the sum of its proper divisors (596319880).

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

408408440 is a wasteful number, since it uses less digits than its factorization.

408408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 408408440 is about 20209.1177442262. The cubic root of 408408440 is about 741.9333665822.

The spelling of 408408440 in words is "four hundred eight million, four hundred eight thousand, four hundred forty".