408675240 has 128 divisors (see below), whose sum is σ = 1442448000. Its totient is φ = 102564864.

The previous prime is 408675217. The next prime is 408675271. The reversal of 408675240 is 42576804.

408675240 is a `hidden beast` number, since 408 + 6 + 7 + 5 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408675195 and 408675204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7231 + ... + 29489.

It is an arithmetic number, because the mean of its divisors is an integer number (11269125).

Almost surely, 2^408675240 is an apocalyptic number.

408675240 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 408675240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721224000).

408675240 is an abundant number, since it is smaller than the sum of its proper divisors (1033772760).

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

408675240 is a wasteful number, since it uses less digits than its factorization.

408675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22296 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 408675240 is about 20215.7176474148. The cubic root of 408675240 is about 742.0948917566.

The spelling of 408675240 in words is "four hundred eight million, six hundred seventy-five thousand, two hundred forty".