440072720 has 40 divisors (see below), whose sum is σ = 1025493144. Its totient is φ = 175629312.

The previous prime is 440072719. The next prime is 440072741. The reversal of 440072720 is 27270044.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 426174736 = 3728^2 + 20644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×440072720⁴ (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440072720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30542 + ... + 42578.

Almost surely, 2^440072720 is an apocalyptic number.

440072720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440072720 is an abundant number, since it is smaller than the sum of its proper divisors (585420424).

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

440072720 is a wasteful number, since it uses less digits than its factorization.

440072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 440072720 is about 20977.9102867755. The cubic root of 440072720 is about 760.6323914658.

The spelling of 440072720 in words is "four hundred forty million, seventy-two thousand, seven hundred twenty".