45452560 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 16201728.

The previous prime is 45452527. The next prime is 45452569. The reversal of 45452560 is 6525454.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45452569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24961 + ... + 26719.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^45452560 is an apocalyptic number.

45452560 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 45452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

45452560 is an abundant number, since it is smaller than the sum of its proper divisors (72397040).

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

45452560 is a wasteful number, since it uses less digits than its factorization.

45452560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 45452560 is about 6741.8513777745. The cubic root of 45452560 is about 356.8777314607.

The spelling of 45452560 in words is "forty-five million, four hundred fifty-two thousand, five hundred sixty".