418794964 has 36 divisors (see below), whose sum is σ = 855103284. Its totient is φ = 178945536.

The previous prime is 418794919. The next prime is 418794977. The reversal of 418794964 is 469497814.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 328696900 = 9492^2 + 18130^2 .

It is a super-2 number, since 2×418794964² = 350778443743522592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66162 + ... + 72214.

It is an arithmetic number, because the mean of its divisors is an integer number (23752869).

Almost surely, 2^418794964 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 418794964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427551642).

418794964 is an abundant number, since it is smaller than the sum of its proper divisors (436308320).

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

418794964 is a wasteful number, since it uses less digits than its factorization.

418794964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6415 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 418794964 is about 20464.4805455697. The cubic root of 418794964 is about 748.1703335387.

The spelling of 418794964 in words is "four hundred eighteen million, seven hundred ninety-four thousand, nine hundred sixty-four".