753487464 has 128 divisors (see below), whose sum is σ = 2049062400. Its totient is φ = 230031360.

The previous prime is 753487451. The next prime is 753487477. The reversal of 753487464 is 464784357.

It is a happy number.

753487464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (753487451) and next prime (753487477).

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, 3126384 + ... + 3126624.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^753487464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753487464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024531200).

753487464 is an abundant number, since it is smaller than the sum of its proper divisors (1295574936).

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

753487464 is a wasteful number, since it uses less digits than its factorization.

753487464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 753487464 is about 27449.7261188523. The cubic root of 753487464 is about 909.9663731888.

The spelling of 753487464 in words is "seven hundred fifty-three million, four hundred eighty-seven thousand, four hundred sixty-four".