416013760 has 56 divisors (see below), whose sum is σ = 999804960. Its totient is φ = 164865024.

The previous prime is 416013743. The next prime is 416013791. The reversal of 416013760 is 67310614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28917 + ... + 40843.

It is an arithmetic number, because the mean of its divisors is an integer number (17853660).

Almost surely, 2^416013760 is an apocalyptic number.

416013760 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 416013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499902480).

416013760 is an abundant number, since it is smaller than the sum of its proper divisors (583791200).

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

416013760 is a wasteful number, since it uses less digits than its factorization.

416013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12053 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 416013760 is about 20396.4153713342. The cubic root of 416013760 is about 746.5104619383.

The spelling of 416013760 in words is "four hundred sixteen million, thirteen thousand, seven hundred sixty".