45294560 has 48 divisors (see below), whose sum is σ = 107875152. Its totient is φ = 17971200.

The previous prime is 45294553. The next prime is 45294569. The reversal of 45294560 is 6549254.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45294560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45294569) 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, 19880 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (2247399).

Almost surely, 2^45294560 is an apocalyptic number.

45294560 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 45294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937576).

45294560 is an abundant number, since it is smaller than the sum of its proper divisors (62580592).

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

45294560 is a wasteful number, since it uses less digits than its factorization.

45294560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 45294560 is about 6730.1233272504. The cubic root of 45294560 is about 356.4637309859.

It can be divided in two parts, 45294 and 560, that added together give a palindrome (45854).

The spelling of 45294560 in words is "forty-five million, two hundred ninety-four thousand, five hundred sixty".