408752480 has 48 divisors (see below), whose sum is σ = 968844240. Its totient is φ = 162964992.

The previous prime is 408752479. The next prime is 408752497. The reversal of 408752480 is 84257804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46691 + ... + 54749.

It is an arithmetic number, because the mean of its divisors is an integer number (20184255).

Almost surely, 2^408752480 is an apocalyptic number.

408752480 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 408752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484422120).

408752480 is an abundant number, since it is smaller than the sum of its proper divisors (560091760).

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

408752480 is a wasteful number, since it uses less digits than its factorization.

408752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 408752480 is about 20217.6279518642. The cubic root of 408752480 is about 742.1416410195.

The spelling of 408752480 in words is "four hundred eight million, seven hundred fifty-two thousand, four hundred eighty".