45825760 has 24 divisors (see below), whose sum is σ = 108263736. Its totient is φ = 18330240.

The previous prime is 45825751. The next prime is 45825763. The reversal of 45825760 is 6752854.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45825763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143046 + ... + 143365.

It is an arithmetic number, because the mean of its divisors is an integer number (4510989).

Almost surely, 2^45825760 is an apocalyptic number.

45825760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45825760 is an abundant number, since it is smaller than the sum of its proper divisors (62437976).

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

45825760 is a wasteful number, since it uses less digits than its factorization.

45825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286426 (or 286418 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 45825760 is about 6769.4726530211. The cubic root of 45825760 is about 357.8518159541.

The spelling of 45825760 in words is "forty-five million, eight hundred twenty-five thousand, seven hundred sixty".