440334972 has 162 divisors, whose sum is σ = 1423893744. Its totient is φ = 114317280.

The previous prime is 440334959. The next prime is 440335009. The reversal of 440334972 is 279433044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 212413 + ... + 214475.

Almost surely, 2^440334972 is an apocalyptic number.

440334972 is a gapful number since it is divisible by the number (42) 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 440334972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711946872).

440334972 is an abundant number, since it is smaller than the sum of its proper divisors (983558772).

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

440334972 is a wasteful number, since it uses less digits than its factorization.

440334972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 440334972 is about 20984.1600260768. The cubic root of 440334972 is about 760.7834557067.

The spelling of 440334972 in words is "four hundred forty million, three hundred thirty-four thousand, nine hundred seventy-two".