747456000 has 320 divisors, whose sum is σ = 2642777280. Its totient is φ = 186777600.

The previous prime is 747455987. The next prime is 747456011. The reversal of 747456000 is 654747.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263886 + ... + 3264114.

It is an arithmetic number, because the mean of its divisors is an integer number (8258679).

Almost surely, 2^747456000 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 747456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321388640).

747456000 is an abundant number, since it is smaller than the sum of its proper divisors (1895321280).

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

747456000 is a wasteful number, since it uses less digits than its factorization.

747456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 747456000 is about 27339.6415484915. The cubic root of 747456000 is about 907.5318538705.

The spelling of 747456000 in words is "seven hundred forty-seven million, four hundred fifty-six thousand".