45584720 has 20 divisors (see below), whose sum is σ = 105984660. Its totient is φ = 18233856.

The previous prime is 45584719. The next prime is 45584729. The reversal of 45584720 is 2748554.

It can be written as a sum of positive squares in 2 ways, for example, as 26956864 + 18627856 = 5192^2 + 4316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45584729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284825 + ... + 284984.

It is an arithmetic number, because the mean of its divisors is an integer number (5299233).

Almost surely, 2^45584720 is an apocalyptic number.

45584720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45584720 is an abundant number, since it is smaller than the sum of its proper divisors (60399940).

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

45584720 is a wasteful number, since it uses less digits than its factorization.

45584720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569822 (or 569816 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 45584720 is about 6751.6457253028. The cubic root of 45584720 is about 357.2232882469.

The spelling of 45584720 in words is "forty-five million, five hundred eighty-four thousand, seven hundred twenty".