45589540 has 48 divisors (see below), whose sum is σ = 100018800. Its totient is φ = 17438720.

The previous prime is 45589471. The next prime is 45589541. The reversal of 45589540 is 4598554.

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 45589504 = 6^2 + 6752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45589493 and 45589502.

It is not an unprimeable number, because it can be changed into a prime (45589541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42936 + ... + 43984.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2^45589540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45589540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50009400).

45589540 is an abundant number, since it is smaller than the sum of its proper divisors (54429260).

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

45589540 is a wasteful number, since it uses less digits than its factorization.

45589540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

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

The square root of 45589540 is about 6752.0026658763. The cubic root of 45589540 is about 357.2358783982.

The spelling of 45589540 in words is "forty-five million, five hundred eighty-nine thousand, five hundred forty".