416808960 has 160 divisors (see below), whose sum is σ = 1358953200. Its totient is φ = 109051904.

The previous prime is 416808949. The next prime is 416808961. The reversal of 416808960 is 69808614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416808961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864294 + ... + 7864346.

Almost surely, 2^416808960 is an apocalyptic number.

416808960 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 416808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679476600).

416808960 is an abundant number, since it is smaller than the sum of its proper divisors (942144240).

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

416808960 is an frugal number, since it uses more digits than its factorization.

416808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 416808960 is about 20415.8996862739. The cubic root of 416808960 is about 746.9858046187.

The spelling of 416808960 in words is "four hundred sixteen million, eight hundred eight thousand, nine hundred sixty".