45633520 has 20 divisors (see below), whose sum is σ = 106098120. Its totient is φ = 18253376.

The previous prime is 45633509. The next prime is 45633521. The reversal of 45633520 is 2533654.

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 (45633521) 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, 285130 + ... + 285289.

It is an arithmetic number, because the mean of its divisors is an integer number (5304906).

Almost surely, 2^45633520 is an apocalyptic number.

45633520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45633520 is an abundant number, since it is smaller than the sum of its proper divisors (60464600).

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

45633520 is a wasteful number, since it uses less digits than its factorization.

45633520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570432 (or 570426 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 45633520 is about 6755.2586923078. The cubic root of 45633520 is about 357.3507160302.

The spelling of 45633520 in words is "forty-five million, six hundred thirty-three thousand, five hundred twenty".