45733660 has 72 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 14990976.

The previous prime is 45733631. The next prime is 45733669. The reversal of 45733660 is 6633754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45733669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21526 + ... + 23554.

It is an arithmetic number, because the mean of its divisors is an integer number (1619940).

Almost surely, 2^45733660 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 45733660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840).

45733660 is an abundant number, since it is smaller than the sum of its proper divisors (70902020).

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

45733660 is a wasteful number, since it uses less digits than its factorization.

45733660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 45733660 is about 6762.6666338065. Note that the first 4 decimals coincide. The cubic root of 45733660 is about 357.6119199032.

The spelling of 45733660 in words is "forty-five million, seven hundred thirty-three thousand, six hundred sixty".