746721585 has 20 divisors (see below), whose sum is σ = 1338568308. Its totient is φ = 398251296.

The previous prime is 746721539. The next prime is 746721589. The reversal of 746721585 is 585127647.

746721585 is a `hidden beast` number, since 7 + 4 + 67 + 2 + 1 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 511528689 + 235192896 = 22617^2 + 15336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-746721585 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 746721585.

It is not an unprimeable number, because it can be changed into a prime (746721589) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921474 + ... + 922283.

Almost surely, 2^746721585 is an apocalyptic number.

It is an amenable number.

746721585 is a deficient number, since it is larger than the sum of its proper divisors (591846723).

746721585 is a wasteful number, since it uses less digits than its factorization.

746721585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843774 (or 1843765 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 746721585 is about 27326.2069266849. The cubic root of 746721585 is about 907.2345238079.

The spelling of 746721585 in words is "seven hundred forty-six million, seven hundred twenty-one thousand, five hundred eighty-five".