418560 has 72 divisors (see below), whose sum is σ = 1349040. Its totient is φ = 110592.

The previous prime is 418559. The next prime is 418597. The reversal of 418560 is 65814.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 418560.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3786 + ... + 3894.

2⁴¹⁸⁵⁶⁰ is an apocalyptic number.

418560 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 418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674520).

418560 is an abundant number, since it is smaller than the sum of its proper divisors (930480).

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

418560 is a wasteful number, since it uses less digits than its factorization.

418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 418560 is about 646.9621318130. The cubic root of 418560 is about 74.8030387586.

The spelling of 418560 in words is "four hundred eighteen thousand, five hundred sixty".