408480902128 has 80 divisors (see below), whose sum is σ = 870780516480. Its totient is φ = 184447346688.

The previous prime is 408480902119. The next prime is 408480902143. The reversal of 408480902128 is 821209084804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31834018 + ... + 31846846.

It is an arithmetic number, because the mean of its divisors is an integer number (10884756456).

Almost surely, 2^408480902128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408480902128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435390258240).

408480902128 is an abundant number, since it is smaller than the sum of its proper divisors (462299614352).

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

408480902128 is a wasteful number, since it uses less digits than its factorization.

408480902128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16154 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 408480902128 in words is "four hundred eight billion, four hundred eighty million, nine hundred two thousand, one hundred twenty-eight".