45795360 has 192 divisors, whose sum is σ = 160030080. Its totient is φ = 10936320.

The previous prime is 45795359. The next prime is 45795383. The reversal of 45795360 is 6359754.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255751 + ... + 255929.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^45795360 is an apocalyptic number.

45795360 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 45795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

45795360 is an abundant number, since it is smaller than the sum of its proper divisors (114234720).

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

45795360 is a wasteful number, since it uses less digits than its factorization.

45795360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 45795360 is about 6767.2269062002. The cubic root of 45795360 is about 357.7726675910.

The spelling of 45795360 in words is "forty-five million, seven hundred ninety-five thousand, three hundred sixty".