45206560 has 96 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 15344640.

The previous prime is 45206533. The next prime is 45206573. The reversal of 45206560 is 6560254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202609 + ... + 202831.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^45206560 is an apocalyptic number.

45206560 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 45206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

45206560 is an abundant number, since it is smaller than the sum of its proper divisors (78075872).

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

45206560 is a wasteful number, since it uses less digits than its factorization.

45206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 45206560 is about 6723.5823784646. The cubic root of 45206560 is about 356.2327308752.

The spelling of 45206560 in words is "forty-five million, two hundred six thousand, five hundred sixty".