418380 has 48 divisors (see below), whose sum is σ = 1236480. Its totient is φ = 105408.

The previous prime is 418373. The next prime is 418381. The reversal of 418380 is 83814.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 418380.

It is not an unprimeable number, because it can be changed into a prime (418381) by changing a digit.

418380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (25760).

2⁴¹⁸³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618240).

418380 is an abundant number, since it is smaller than the sum of its proper divisors (818100).

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

418380 is a wasteful number, since it uses less digits than its factorization.

418380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 418380 is about 646.8230051567. The cubic root of 418380 is about 74.7923143085.

The spelling of 418380 in words is "four hundred eighteen thousand, three hundred eighty".