416160 has 108 divisors (see below), whose sum is σ = 1508598. Its totient is φ = 104448.

The previous prime is 416159. The next prime is 416167. The reversal of 416160 is 61614.

It can be written as a sum of positive squares in 3 ways, for example, as 404496 + 11664 = 636^2 + 108^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (416167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24472 + ... + 24488.

2⁴¹⁶¹⁶⁰ is an apocalyptic number.

416160 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 416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754299).

416160 is an abundant number, since it is smaller than the sum of its proper divisors (1092438).

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

416160 is a wasteful number, since it uses less digits than its factorization.

416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 416160 is about 645.1046426743. The cubic root of 416160 is about 74.6597924510.

Adding to 416160 its reverse (61614), we get a palindrome (477774).

It can be divided in two parts, 416 and 160, that added together give a square (576 = 24²).

The spelling of 416160 in words is "four hundred sixteen thousand, one hundred sixty".