440013440 has 32 divisors (see below), whose sum is σ = 1051908660. Its totient is φ = 176005120.

The previous prime is 440013421. The next prime is 440013451. The reversal of 440013440 is 44310044.

It can be written as a sum of positive squares in 2 ways, for example, as 432307264 + 7706176 = 20792^2 + 2776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×440013440² = 387223654761267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343121 + ... + 344400.

Almost surely, 2^440013440 is an apocalyptic number.

440013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440013440 is an abundant number, since it is smaller than the sum of its proper divisors (611895220).

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

440013440 is an equidigital number, since it uses as much as digits as its factorization.

440013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687540 (or 687528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 440013440 is about 20976.4973243866. The cubic root of 440013440 is about 760.5982362675.

Adding to 440013440 its reverse (44310044), we get a palindrome (484323484).

The spelling of 440013440 in words is "four hundred forty million, thirteen thousand, four hundred forty".