418960 has 20 divisors (see below), whose sum is σ = 974268. Its totient is φ = 167552.

The previous prime is 418939. The next prime is 418961. The reversal of 418960 is 69814.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 156816 = 512^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (418961) by changing a digit.

418960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2539 + ... + 2698.

2⁴¹⁸⁹⁶⁰ is an apocalyptic number.

418960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418960 is an abundant number, since it is smaller than the sum of its proper divisors (555308).

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

418960 is a wasteful number, since it uses less digits than its factorization.

418960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 418960 is about 647.2711950952. The cubic root of 418960 is about 74.8268598668.

It can be divided in two parts, 418 and 960, that added together give a triangular number (1378 = T₅₂).

The spelling of 418960 in words is "four hundred eighteen thousand, nine hundred sixty".