753457464 has 96 divisors (see below), whose sum is σ = 2227680000. Its totient is φ = 237922272.

The previous prime is 753457399. The next prime is 753457489. The reversal of 753457464 is 464754357.

753457464 is a `hidden beast` number, since 7 + 534 + 57 + 4 + 64 = 666.

753457464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×753457464² = 1135396300114622592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26737 + ... + 47135.

It is an arithmetic number, because the mean of its divisors is an integer number (23205000).

Almost surely, 2^753457464 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 753457464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840000).

753457464 is an abundant number, since it is smaller than the sum of its proper divisors (1474222536).

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

753457464 is a wasteful number, since it uses less digits than its factorization.

753457464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439 (or 20423 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 753457464 is about 27449.1796598733. The cubic root of 753457464 is about 909.9542962998.

The spelling of 753457464 in words is "seven hundred fifty-three million, four hundred fifty-seven thousand, four hundred sixty-four".