408120804 has 243 divisors, whose sum is σ = 1335553947. Its totient is φ = 104727168.

The previous prime is 408120773. The next prime is 408120833. The reversal of 408120804 is 408021804.

The square root of 408120804 is 20202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1695204 + 406425600 = 1302^2 + 20160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11030274 + ... + 11030310.

Almost surely, 2^408120804 is an apocalyptic number.

408120804 is the 20202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408120804

408120804 is an abundant number, since it is smaller than the sum of its proper divisors (927433143).

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

408120804 is a wasteful number, since it uses less digits than its factorization.

408120804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 408120804 is about 741.7591481248.

The spelling of 408120804 in words is "four hundred eight million, one hundred twenty thousand, eight hundred four".