408140480 has 112 divisors (see below), whose sum is σ = 1083234816. Its totient is φ = 145198080.

The previous prime is 408140441. The next prime is 408140507. The reversal of 408140480 is 84041804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164207 + ... + 166673.

Almost surely, 2^408140480 is an apocalyptic number.

408140480 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 408140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541617408).

408140480 is an abundant number, since it is smaller than the sum of its proper divisors (675094336).

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

408140480 is a wasteful number, since it uses less digits than its factorization.

408140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 408140480 is about 20202.4869756176. The cubic root of 408140480 is about 741.7710683033.

The spelling of 408140480 in words is "four hundred eight million, one hundred forty thousand, four hundred eighty".