745184400 has 120 divisors (see below), whose sum is σ = 2410649280. Its totient is φ = 196753920.

The previous prime is 745184393. The next prime is 745184413. The reversal of 745184400 is 4481547.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 120586 + ... + 126614.

It is an arithmetic number, because the mean of its divisors is an integer number (20088744).

Almost surely, 2^745184400 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 745184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205324640).

745184400 is an abundant number, since it is smaller than the sum of its proper divisors (1665464880).

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

745184400 is a wasteful number, since it uses less digits than its factorization.

745184400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 745184400 is about 27298.0658655517. The cubic root of 745184400 is about 906.6115583095.

The spelling of 745184400 in words is "seven hundred forty-five million, one hundred eighty-four thousand, four hundred".