408306420 has 120 divisors (see below), whose sum is σ = 1293836544. Its totient is φ = 107780544.

The previous prime is 408306401. The next prime is 408306449. The reversal of 408306420 is 24603804.

It is a super-2 number, since 2×408306420² = 333428265226432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 165637 + ... + 168083.

Almost surely, 2^408306420 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 408306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646918272).

408306420 is an abundant number, since it is smaller than the sum of its proper divisors (885530124).

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

408306420 is a wasteful number, since it uses less digits than its factorization.

408306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 408306420 is about 20206.5934783674. The cubic root of 408306420 is about 741.8715833785.

The spelling of 408306420 in words is "four hundred eight million, three hundred six thousand, four hundred twenty".