45589504 has 33 divisors (see below), whose sum is σ = 91568451. Its totient is φ = 22686720.

The previous prime is 45589471. The next prime is 45589541. The reversal of 45589504 is 40598554.

The square root of 45589504 is 6752.

It is a perfect power (a square), and thus also a powerful number.

45589504 is nontrivially palindromic in base 15.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 215959 + ... + 216169.

Almost surely, 2^45589504 is an apocalyptic number.

45589504 is the 6752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45589504

45589504 is an abundant number, since it is smaller than the sum of its proper divisors (45978947).

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

45589504 is an frugal number, since it uses more digits than its factorization.

45589504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The cubic root of 45589504 is about 357.2357843672.

The spelling of 45589504 in words is "forty-five million, five hundred eighty-nine thousand, five hundred four".