45430560 has 144 divisors (see below), whose sum is σ = 177218496. Its totient is φ = 10381824.

The previous prime is 45430523. The next prime is 45430571. The reversal of 45430560 is 6503454.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827 + ... + 12333.

It is an arithmetic number, because the mean of its divisors is an integer number (1230684).

Almost surely, 2^45430560 is an apocalyptic number.

45430560 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 45430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88609248).

45430560 is an abundant number, since it is smaller than the sum of its proper divisors (131787936).

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

45430560 is a wasteful number, since it uses less digits than its factorization.

45430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45430560 is about 6740.2195809929. The cubic root of 45430560 is about 356.8201433794.

The spelling of 45430560 in words is "forty-five million, four hundred thirty thousand, five hundred sixty".