753469440 has 96 divisors (see below), whose sum is σ = 2410611840. Its totient is φ = 200916992.

The previous prime is 753469433. The next prime is 753469447. The reversal of 753469440 is 44964357.

It is an interprime number because it is at equal distance from previous prime (753469433) and next prime (753469447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 753469392 and 753469401.

It is not an unprimeable number, because it can be changed into a prime (753469447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18457 + ... + 42983.

It is an arithmetic number, because the mean of its divisors is an integer number (25110540).

Almost surely, 2^753469440 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 753469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205305920).

753469440 is an abundant number, since it is smaller than the sum of its proper divisors (1657142400).

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

753469440 is a wasteful number, since it uses less digits than its factorization.

753469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24557 (or 24537 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 753469440 is about 27449.3978076023. The cubic root of 753469440 is about 909.9591174324.

The spelling of 753469440 in words is "seven hundred fifty-three million, four hundred sixty-nine thousand, four hundred forty".