45745760 has 48 divisors (see below), whose sum is σ = 111812400. Its totient is φ = 17665536.

The previous prime is 45745753. The next prime is 45745769. The reversal of 45745760 is 6754754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45745769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2^45745760 is an apocalyptic number.

45745760 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 45745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55906200).

45745760 is an abundant number, since it is smaller than the sum of its proper divisors (66066640).

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

45745760 is a wasteful number, since it uses less digits than its factorization.

45745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 45745760 is about 6763.5611921531. The cubic root of 45745760 is about 357.6434555575.

The spelling of 45745760 in words is "forty-five million, seven hundred forty-five thousand, seven hundred sixty".