745474000 has 80 divisors (see below), whose sum is σ = 1864858320. Its totient is φ = 287884800.

The previous prime is 745473979. The next prime is 745474061. The reversal of 745474000 is 474547.

745474000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 329640336 + 415833664 = 18156^2 + 20392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51574 + ... + 64426.

It is an arithmetic number, because the mean of its divisors is an integer number (23310729).

Almost surely, 2^745474000 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 745474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932429160).

745474000 is an abundant number, since it is smaller than the sum of its proper divisors (1119384320).

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

745474000 is a wasteful number, since it uses less digits than its factorization.

745474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 745474000 is about 27303.3697553983. The cubic root of 745474000 is about 906.7289881709.

The spelling of 745474000 in words is "seven hundred forty-five million, four hundred seventy-four thousand".