418992 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 112896.

The previous prime is 418987. The next prime is 418993. The reversal of 418992 is 299814.

It is not an unprimeable number, because it can be changed into a prime (418993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9723 + ... + 9765.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2⁴¹⁸⁹⁹² is an apocalyptic number.

418992 is a gapful number since it is divisible by the number (42) 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 418992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

418992 is an abundant number, since it is smaller than the sum of its proper divisors (890448).

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

418992 is a wasteful number, since it uses less digits than its factorization.

418992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 418992 is about 647.2959137829. The cubic root of 418992 is about 74.8287649003.

The spelling of 418992 in words is "four hundred eighteen thousand, nine hundred ninety-two".