45506560 has 112 divisors (see below), whose sum is σ = 120316752. Its totient is φ = 16384000.

The previous prime is 45506557. The next prime is 45506561. The reversal of 45506560 is 6560554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506561) 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, 450510 + ... + 450610.

Almost surely, 2^45506560 is an apocalyptic number.

45506560 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 45506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60158376).

45506560 is an abundant number, since it is smaller than the sum of its proper divisors (74810192).

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

45506560 is a wasteful number, since it uses less digits than its factorization.

45506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 45506560 is about 6745.8550236423. The cubic root of 45506560 is about 357.0190052835.

It can be divided in two parts, 45 and 506560, that added together give a palindrome (506605).

The spelling of 45506560 in words is "forty-five million, five hundred six thousand, five hundred sixty".