416628360 has 96 divisors (see below), whose sum is σ = 1404224640. Its totient is φ = 111098304.

The previous prime is 416628341. The next prime is 416628379. The reversal of 416628360 is 63826614.

It is an interprime number because it is at equal distance from previous prime (416628341) and next prime (416628379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11712 + ... + 31151.

It is an arithmetic number, because the mean of its divisors is an integer number (14627340).

Almost surely, 2^416628360 is an apocalyptic number.

416628360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416628360 is an abundant number, since it is smaller than the sum of its proper divisors (987596280).

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

416628360 is a wasteful number, since it uses less digits than its factorization.

416628360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42889 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 416628360 is about 20411.4761837551. The cubic root of 416628360 is about 746.8779013677.

The spelling of 416628360 in words is "four hundred sixteen million, six hundred twenty-eight thousand, three hundred sixty".