408390864 has 320 divisors, whose sum is σ = 1388482560. Its totient is φ = 100638720.

The previous prime is 408390863. The next prime is 408390889. The reversal of 408390864 is 468093804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408390863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5751949 + ... + 5752019.

It is an arithmetic number, because the mean of its divisors is an integer number (4339008).

Almost surely, 2^408390864 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 408390864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694241280).

408390864 is an abundant number, since it is smaller than the sum of its proper divisors (980091696).

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

408390864 is a wasteful number, since it uses less digits than its factorization.

408390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 408390864 is about 20208.6828863239. The cubic root of 408390864 is about 741.9227233089.

The spelling of 408390864 in words is "four hundred eight million, three hundred ninety thousand, eight hundred sixty-four".