416023680 has 64 divisors (see below), whose sum is σ = 1326081600. Its totient is φ = 110939136.

The previous prime is 416023661. The next prime is 416023709. The reversal of 416023680 is 86320614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 106420 + ... + 110259.

It is an arithmetic number, because the mean of its divisors is an integer number (20720025).

Almost surely, 2^416023680 is an apocalyptic number.

416023680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416023680 is an abundant number, since it is smaller than the sum of its proper divisors (910057920).

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

416023680 is a wasteful number, since it uses less digits than its factorization.

416023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216701 (or 216689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 416023680 is about 20396.6585498704. The cubic root of 416023680 is about 746.5163954960.

The spelling of 416023680 in words is "four hundred sixteen million, twenty-three thousand, six hundred eighty".