440132264 has 64 divisors (see below), whose sum is σ = 1020600000. Its totient is φ = 174942720.

The previous prime is 440132249. The next prime is 440132269. The reversal of 440132264 is 462231044.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (440132269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11612 + ... + 31860.

It is an arithmetic number, because the mean of its divisors is an integer number (15946875).

Almost surely, 2^440132264 is an apocalyptic number.

440132264 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 440132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510300000).

440132264 is an abundant number, since it is smaller than the sum of its proper divisors (580467736).

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

440132264 is a wasteful number, since it uses less digits than its factorization.

440132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 20294 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 440132264 is about 20979.3294459094. The cubic root of 440132264 is about 760.6666956845. Note that the first 4 decimals are identical.

The spelling of 440132264 in words is "four hundred forty million, one hundred thirty-two thousand, two hundred sixty-four".