440034768 has 100 divisors (see below), whose sum is σ = 1279421088. Its totient is φ = 146007360.

The previous prime is 440034767. The next prime is 440034797. The reversal of 440034768 is 867430044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440034767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340203 + ... + 341493.

Almost surely, 2^440034768 is an apocalyptic number.

440034768 is a gapful number since it is divisible by the number (48) 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 440034768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639710544).

440034768 is an abundant number, since it is smaller than the sum of its proper divisors (839386320).

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

440034768 is a wasteful number, since it uses less digits than its factorization.

440034768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 440034768 is about 20977.0056967147. The cubic root of 440034768 is about 760.6105251172.

The spelling of 440034768 in words is "four hundred forty million, thirty-four thousand, seven hundred sixty-eight".