746532000 has 288 divisors, whose sum is σ = 2690709840. Its totient is φ = 195993600.

The previous prime is 746531957. The next prime is 746532001. The reversal of 746532000 is 235647.

It is a happy number.

746532000 is a `hidden beast` number, since 7 + 4 + 653 + 2 + 0 + 0 + 0 = 666.

746532000 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 15586704 + 730945296 = 3948^2 + 27036^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (746532001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203884 + ... + 3204116.

Almost surely, 2^746532000 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 746532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345354920).

746532000 is an abundant number, since it is smaller than the sum of its proper divisors (1944177840).

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

746532000 is a wasteful number, since it uses less digits than its factorization.

746532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 746532000 is about 27322.7377837581. The cubic root of 746532000 is about 907.1577381095.

Adding to 746532000 its reverse (235647), we get a palindrome (746767647).

The spelling of 746532000 in words is "seven hundred forty-six million, five hundred thirty-two thousand".