408807072 has 36 divisors (see below), whose sum is σ = 1162545930. Its totient is φ = 136268928.

The previous prime is 408807071. The next prime is 408807079. The reversal of 408807072 is 270708804.

It can be written as a sum of positive squares in only one way, i.e., 374654736 + 34152336 = 19356^2 + 5844^2 .

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 not an unprimeable number, because it can be changed into a prime (408807071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 709447 + ... + 710022.

Almost surely, 2^408807072 is an apocalyptic number.

It is an amenable number.

408807072 is an abundant number, since it is smaller than the sum of its proper divisors (753738858).

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

408807072 is a wasteful number, since it uses less digits than its factorization.

408807072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419485 (or 1419474 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 408807072 is about 20218.9780157158. The cubic root of 408807072 is about 742.1746791007.

The spelling of 408807072 in words is "four hundred eight million, eight hundred seven thousand, seventy-two".