416607560 has 64 divisors (see below), whose sum is σ = 978551280. Its totient is φ = 159477760.

The previous prime is 416607553. The next prime is 416607571. The reversal of 416607560 is 65706614.

It can be written as a sum of positive squares in 8 ways, for example, as 193822084 + 222785476 = 13922^2 + 14926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416607560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84524 + ... + 89316.

Almost surely, 2^416607560 is an apocalyptic number.

416607560 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 416607560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489275640).

416607560 is an abundant number, since it is smaller than the sum of its proper divisors (561943720).

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

416607560 is a wasteful number, since it uses less digits than its factorization.

416607560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 416607560 is about 20410.9666601070. The cubic root of 416607560 is about 746.8654719699.

The spelling of 416607560 in words is "four hundred sixteen million, six hundred seven thousand, five hundred sixty".