408840820 has 24 divisors (see below), whose sum is σ = 909070344. Its totient is φ = 153916416.

The previous prime is 408840793. The next prime is 408840821. The reversal of 408840820 is 28048804.

It can be written as a sum of positive squares in 4 ways, for example, as 171557604 + 237283216 = 13098^2 + 15404^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408840821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600897 + ... + 601576.

It is an arithmetic number, because the mean of its divisors is an integer number (37877931).

Almost surely, 2^408840820 is an apocalyptic number.

It is an amenable number.

408840820 is an abundant number, since it is smaller than the sum of its proper divisors (500229524).

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

408840820 is a wasteful number, since it uses less digits than its factorization.

408840820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202499 (or 1202497 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 408840820 is about 20219.8125609512. The cubic root of 408840820 is about 742.1951013028.

The spelling of 408840820 in words is "four hundred eight million, eight hundred forty thousand, eight hundred twenty".