45730560 has 72 divisors (see below), whose sum is σ = 146064240. Its totient is φ = 12193792.

The previous prime is 45730547. The next prime is 45730567. The reversal of 45730560 is 6503754.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45730567) 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 7 ways as a sum of consecutive naturals, for example, 2115 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (2028670).

Almost surely, 2^45730560 is an apocalyptic number.

45730560 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 45730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73032120).

45730560 is an abundant number, since it is smaller than the sum of its proper divisors (100333680).

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

45730560 is a wasteful number, since it uses less digits than its factorization.

45730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 45730560 is about 6762.4374303945. The cubic root of 45730560 is about 357.6038396257.

The spelling of 45730560 in words is "forty-five million, seven hundred thirty thousand, five hundred sixty".