408088480 has 48 divisors (see below), whose sum is σ = 973693224. Its totient is φ = 161612800.

The previous prime is 408088463. The next prime is 408088487. The reversal of 408088480 is 84880804.

It can be written as a sum of positive squares in 4 ways, for example, as 402724624 + 5363856 = 20068^2 + 2316^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (408088487) 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, 3534 + ... + 28786.

Almost surely, 2^408088480 is an apocalyptic number.

408088480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486846612).

408088480 is an abundant number, since it is smaller than the sum of its proper divisors (565604744).

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

408088480 is a wasteful number, since it uses less digits than its factorization.

408088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25369 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 408088480 is about 20201.1999643586. The cubic root of 408088480 is about 741.7395646620.

The spelling of 408088480 in words is "four hundred eight million, eighty-eight thousand, four hundred eighty".