408463020 has 288 divisors, whose sum is σ = 1516838400. Its totient is φ = 90937728.

The previous prime is 408462991. The next prime is 408463051. The reversal of 408463020 is 20364804.

408463020 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 630 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1137601 + ... + 1137959.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2^408463020 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 408463020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

408463020 is an abundant number, since it is smaller than the sum of its proper divisors (1108375380).

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

408463020 is a wasteful number, since it uses less digits than its factorization.

408463020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

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

The square root of 408463020 is about 20210.4680796858. The cubic root of 408463020 is about 741.9664159476.

The spelling of 408463020 in words is "four hundred eight million, four hundred sixty-three thousand, twenty".