416128880 has 80 divisors (see below), whose sum is σ = 1062789120. Its totient is φ = 150822144.

The previous prime is 416128831. The next prime is 416128919. The reversal of 416128880 is 88821614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 29009 + ... + 40911.

It is an arithmetic number, because the mean of its divisors is an integer number (13284864).

Almost surely, 2^416128880 is an apocalyptic number.

416128880 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 416128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531394560).

416128880 is an abundant number, since it is smaller than the sum of its proper divisors (646660240).

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

416128880 is a wasteful number, since it uses less digits than its factorization.

416128880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11958 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 416128880 is about 20399.2372406421. The cubic root of 416128880 is about 746.5793141149.

The spelling of 416128880 in words is "four hundred sixteen million, one hundred twenty-eight thousand, eight hundred eighty".