418361664 has 224 divisors, whose sum is σ = 1334292480. Its totient is φ = 113190912.

The previous prime is 418361641. The next prime is 418361683. The reversal of 418361664 is 466163814.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 2337127 + ... + 2337305.

Almost surely, 2^418361664 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 418361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667146240).

418361664 is an abundant number, since it is smaller than the sum of its proper divisors (915930816).

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

418361664 is a wasteful number, since it uses less digits than its factorization.

418361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 418361664 is about 20453.8911701417. The cubic root of 418361664 is about 747.9122167185.

The spelling of 418361664 in words is "four hundred eighteen million, three hundred sixty-one thousand, six hundred sixty-four".