418964 has 24 divisors (see below), whose sum is σ = 903168. Its totient is φ = 165600.

The previous prime is 418961. The next prime is 418981. The reversal of 418964 is 469814.

418964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 418964.

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 418964.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2⁴¹⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

418964 is an abundant number, since it is smaller than the sum of its proper divisors (484204).

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

418964 is a wasteful number, since it uses less digits than its factorization.

418964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 418964 is about 647.2742849828. The cubic root of 418964 is about 74.8270980013.

The spelling of 418964 in words is "four hundred eighteen thousand, nine hundred sixty-four".