45302560 has 48 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 17810176.

The previous prime is 45302557. The next prime is 45302599. The reversal of 45302560 is 6520354.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7041 + ... + 11839.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^45302560 is an apocalyptic number.

45302560 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 45302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

45302560 is an abundant number, since it is smaller than the sum of its proper divisors (63561440).

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

45302560 is a wasteful number, since it uses less digits than its factorization.

45302560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 45302560 is about 6730.7176437584. The cubic root of 45302560 is about 356.4847161548.

The spelling of 45302560 in words is "forty-five million, three hundred two thousand, five hundred sixty".