45733760 has 64 divisors (see below), whose sum is σ = 115117200. Its totient is φ = 17326080.

The previous prime is 45733759. The next prime is 45733769. The reversal of 45733760 is 6733754.

It is a happy number.

45733760 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45733760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45733769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10280 + ... + 14040.

Almost surely, 2^45733760 is an apocalyptic number.

45733760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558600).

45733760 is an abundant number, since it is smaller than the sum of its proper divisors (69383440).

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

45733760 is a wasteful number, since it uses less digits than its factorization.

45733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 45733760 is about 6762.6740273356. The cubic root of 45733760 is about 357.6121805513.

The spelling of 45733760 in words is "forty-five million, seven hundred thirty-three thousand, seven hundred sixty".