45000032 has 72 divisors (see below), whose sum is σ = 112470120. Its totient is φ = 17525760.

The previous prime is 45000031. The next prime is 45000061. The reversal of 45000032 is 23000054.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 44999980 and 45000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15944 + ... + 18552.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 2^45000032 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 45000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56235060).

45000032 is an abundant number, since it is smaller than the sum of its proper divisors (67470088).

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

45000032 is a wasteful number, since it uses less digits than its factorization.

45000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 45000032 is about 6708.2063176381. The cubic root of 45000032 is about 355.6894147605.

Adding to 45000032 its reverse (23000054), we get a palindrome (68000086).

The spelling of 45000032 in words is "forty-five million, thirty-two", and thus it is an aban number and an uban number.