745459200 has 300 divisors, whose sum is σ = 2762836560. Its totient is φ = 198512640.

The previous prime is 745459199. The next prime is 745459261. The reversal of 745459200 is 2954547.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1036441 + ... + 1037159.

Almost surely, 2^745459200 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 745459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381418280).

745459200 is an abundant number, since it is smaller than the sum of its proper divisors (2017377360).

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

745459200 is an equidigital number, since it uses as much as digits as its factorization.

745459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 745459200 is about 27303.0987252363. The cubic root of 745459200 is about 906.7229876586.

The spelling of 745459200 in words is "seven hundred forty-five million, four hundred fifty-nine thousand, two hundred".