408122880 has 160 divisors (see below), whose sum is σ = 1423623168. Its totient is φ = 98918400.

The previous prime is 408122867. The next prime is 408122909. The reversal of 408122880 is 88221804.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 82065 + ... + 86895.

Almost surely, 2^408122880 is an apocalyptic number.

408122880 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 408122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711811584).

408122880 is an abundant number, since it is smaller than the sum of its proper divisors (1015500288).

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

408122880 is a wasteful number, since it uses less digits than its factorization.

408122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 408122880 is about 20202.0513809860. The cubic root of 408122880 is about 741.7604058320.

The spelling of 408122880 in words is "four hundred eight million, one hundred twenty-two thousand, eight hundred eighty".