416560 has 40 divisors (see below), whose sum is σ = 999936. Its totient is φ = 161280.

The previous prime is 416543. The next prime is 416573. The reversal of 416560 is 65614.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

416560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217 + ... + 3343.

2⁴¹⁶⁵⁶⁰ is an apocalyptic number.

416560 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 416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

416560 is an abundant number, since it is smaller than the sum of its proper divisors (583376).

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

416560 is a wasteful number, since it uses less digits than its factorization.

416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 416560 is about 645.4145954346. The cubic root of 416560 is about 74.6837050119.

It can be divided in two parts, 4165 and 60, that added together give a square (4225 = 65²).

The spelling of 416560 in words is "four hundred sixteen thousand, five hundred sixty".