416648960 has 288 divisors, whose sum is σ = 1270550400. Its totient is φ = 130056192.

The previous prime is 416648957. The next prime is 416648977. The reversal of 416648960 is 69846614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5707484 + ... + 5707556.

Almost surely, 2^416648960 is an apocalyptic number.

416648960 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 416648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635275200).

416648960 is an abundant number, since it is smaller than the sum of its proper divisors (853901440).

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

416648960 is an equidigital number, since it uses as much as digits as its factorization.

416648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 416648960 is about 20411.9807956014. The cubic root of 416648960 is about 746.8902108443.

The spelling of 416648960 in words is "four hundred sixteen million, six hundred forty-eight thousand, nine hundred sixty".