753438440 has 32 divisors (see below), whose sum is σ = 1699301160. Its totient is φ = 300652800.

The previous prime is 753438421. The next prime is 753438457. The reversal of 753438440 is 44834357.

753438440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106956964 + 646481476 = 10342^2 + 25426^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 753438394 and 753438403.

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, 5531 + ... + 39210.

Almost surely, 2^753438440 is an apocalyptic number.

It is an amenable number.

753438440 is an abundant number, since it is smaller than the sum of its proper divisors (945862720).

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

753438440 is a wasteful number, since it uses less digits than its factorization.

753438440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45173 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 753438440 is about 27448.8331263826. The cubic root of 753438440 is about 909.9466377758.

The spelling of 753438440 in words is "seven hundred fifty-three million, four hundred thirty-eight thousand, four hundred forty".