745488000 has 384 divisors, whose sum is σ = 2780144640. Its totient is φ = 191232000.

The previous prime is 745487993. The next prime is 745488011. The reversal of 745488000 is 884547.

745488000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463917 + ... + 4464083.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^745488000 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 745488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390072320).

745488000 is an abundant number, since it is smaller than the sum of its proper divisors (2034656640).

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

745488000 is a wasteful number, since it uses less digits than its factorization.

745488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 745488000 is about 27303.6261328051. The cubic root of 745488000 is about 906.7346642582.

The spelling of 745488000 in words is "seven hundred forty-five million, four hundred eighty-eight thousand".