754465920 has 256 divisors, whose sum is σ = 2619751680. Its totient is φ = 183582720.

The previous prime is 754465909. The next prime is 754465939. The reversal of 754465920 is 29564457.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4168230 + ... + 4168410.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2^754465920 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 754465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

754465920 is an abundant number, since it is smaller than the sum of its proper divisors (1865285760).

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

754465920 is a wasteful number, since it uses less digits than its factorization.

754465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 754465920 is about 27467.5430280904. The cubic root of 754465920 is about 910.3600877401.

The spelling of 754465920 in words is "seven hundred fifty-four million, four hundred sixty-five thousand, nine hundred twenty".