440734164 has 48 divisors (see below), whose sum is σ = 1112213760. Its totient is φ = 135031680.

The previous prime is 440734159. The next prime is 440734187. The reversal of 440734164 is 461437044.

It is a super-3 number, since 3×440734164³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31374 + ... + 43194.

It is an arithmetic number, because the mean of its divisors is an integer number (23171120).

Almost surely, 2^440734164 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 440734164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556106880).

440734164 is an abundant number, since it is smaller than the sum of its proper divisors (671479596).

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

440734164 is a wasteful number, since it uses less digits than its factorization.

440734164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 440734164 is about 20993.6696172918. The cubic root of 440734164 is about 761.0132859955.

The spelling of 440734164 in words is "four hundred forty million, seven hundred thirty-four thousand, one hundred sixty-four".