753728460 has 48 divisors (see below), whose sum is σ = 2129820000. Its totient is φ = 199148544.

The previous prime is 753728453. The next prime is 753728477. The reversal of 753728460 is 64827357.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51085 + ... + 64164.

It is an arithmetic number, because the mean of its divisors is an integer number (44371250).

Almost surely, 2^753728460 is an apocalyptic number.

It is an amenable number.

753728460 is an abundant number, since it is smaller than the sum of its proper divisors (1376091540).

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

753728460 is a wasteful number, since it uses less digits than its factorization.

753728460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115370 (or 115368 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 753728460 is about 27454.1155384762. The cubic root of 753728460 is about 910.0633776251.

The spelling of 753728460 in words is "seven hundred fifty-three million, seven hundred twenty-eight thousand, four hundred sixty".