418416 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 133056.

The previous prime is 418391. The next prime is 418423. The reversal of 418416 is 614814.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 915 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2⁴¹⁸⁴¹⁶ is an apocalyptic number.

418416 is a gapful number since it is divisible by the number (46) 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 418416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

418416 is an abundant number, since it is smaller than the sum of its proper divisors (712464).

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

418416 is a wasteful number, since it uses less digits than its factorization.

418416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

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

The square root of 418416 is about 646.8508328819. The cubic root of 418416 is about 74.7944594445.

The spelling of 418416 in words is "four hundred eighteen thousand, four hundred sixteen".