408428820 has 36 divisors (see below), whose sum is σ = 1238901300. Its totient is φ = 108914304.

The previous prime is 408428771. The next prime is 408428821. The reversal of 408428820 is 28824804.

It can be written as a sum of positive squares in 2 ways, for example, as 279424656 + 129004164 = 16716^2 + 11358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408428821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134345 + ... + 1134704.

It is an arithmetic number, because the mean of its divisors is an integer number (34413925).

Almost surely, 2^408428820 is an apocalyptic number.

It is an amenable number.

408428820 is an abundant number, since it is smaller than the sum of its proper divisors (830472480).

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

408428820 is a wasteful number, since it uses less digits than its factorization.

408428820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269064 (or 2269059 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 408428820 is about 20209.6219657865. The cubic root of 408428820 is about 741.9457074555.

The spelling of 408428820 in words is "four hundred eight million, four hundred twenty-eight thousand, eight hundred twenty".