440461164 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 116014080.

The previous prime is 440461159. The next prime is 440461181. The reversal of 440461164 is 461164044.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2637409 + ... + 2637575.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^440461164 is an apocalyptic number.

440461164 is a gapful number since it is divisible by the number (44) 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 440461164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

440461164 is an abundant number, since it is smaller than the sum of its proper divisors (839779476).

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

440461164 is a wasteful number, since it uses less digits than its factorization.

440461164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 440461164 is about 20987.1666501222. The cubic root of 440461164 is about 760.8561243358.

The spelling of 440461164 in words is "four hundred forty million, four hundred sixty-one thousand, one hundred sixty-four".