440049792 has 256 divisors, whose sum is σ = 1473696000. Its totient is φ = 115605504.

The previous prime is 440049763. The next prime is 440049803. The reversal of 440049792 is 297940044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 440049792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712128 + ... + 1712384.

It is an arithmetic number, because the mean of its divisors is an integer number (5756625).

Almost surely, 2^440049792 is an apocalyptic number.

440049792 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 440049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736848000).

440049792 is an abundant number, since it is smaller than the sum of its proper divisors (1033646208).

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

440049792 is a wasteful number, since it uses less digits than its factorization.

440049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 440049792 is about 20977.3638000584. The cubic root of 440049792 is about 760.6191814654.

The spelling of 440049792 in words is "four hundred forty million, forty-nine thousand, seven hundred ninety-two".