408662240 has 96 divisors (see below), whose sum is σ = 1113497280. Its totient is φ = 138829824.

The previous prime is 408662231. The next prime is 408662291. The reversal of 408662240 is 42266804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 408662197 and 408662206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124946 + ... + 128174.

It is an arithmetic number, because the mean of its divisors is an integer number (11598930).

Almost surely, 2^408662240 is an apocalyptic number.

408662240 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 408662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556748640).

408662240 is an abundant number, since it is smaller than the sum of its proper divisors (704835040).

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

408662240 is a wasteful number, since it uses less digits than its factorization.

408662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 408662240 is about 20215.3961128641. The cubic root of 408662240 is about 742.0870229691.

The spelling of 408662240 in words is "four hundred eight million, six hundred sixty-two thousand, two hundred forty".