408390642 has 48 divisors (see below), whose sum is σ = 968187168. Its totient is φ = 123383040.

The previous prime is 408390641. The next prime is 408390659. The reversal of 408390642 is 246093804.

It is a happy number.

408390642 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 9 + 0 + 642 = 666.

It is a super-3 number, since 3×408390642³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408390597 and 408390606.

It is not an unprimeable number, because it can be changed into a prime (408390641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66973 + ... + 72815.

It is an arithmetic number, because the mean of its divisors is an integer number (20170566).

Almost surely, 2^408390642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408390642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484093584).

408390642 is an abundant number, since it is smaller than the sum of its proper divisors (559796526).

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

408390642 is a wasteful number, since it uses less digits than its factorization.

408390642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 408390642 is about 20208.6773936346. The cubic root of 408390642 is about 741.9225888732.

The spelling of 408390642 in words is "four hundred eight million, three hundred ninety thousand, six hundred forty-two".