418861164 has 96 divisors (see below), whose sum is σ = 1071899136. Its totient is φ = 126766080.

The previous prime is 418861111. The next prime is 418861171. The reversal of 418861164 is 461168814.

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, 1592497 + ... + 1592759.

It is an arithmetic number, because the mean of its divisors is an integer number (11165616).

Almost surely, 2^418861164 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 418861164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535949568).

418861164 is an abundant number, since it is smaller than the sum of its proper divisors (653037972).

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

418861164 is a wasteful number, since it uses less digits than its factorization.

418861164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 418861164 is about 20466.0979182647. The cubic root of 418861164 is about 748.2097531998.

The spelling of 418861164 in words is "four hundred eighteen million, eight hundred sixty-one thousand, one hundred sixty-four".