45605472 has 96 divisors (see below), whose sum is σ = 137531520. Its totient is φ = 13086720.

The previous prime is 45605471. The next prime is 45605513. The reversal of 45605472 is 27450654.

45605472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45605471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18928 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (1432620).

Almost surely, 2^45605472 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 45605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68765760).

45605472 is an abundant number, since it is smaller than the sum of its proper divisors (91926048).

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

45605472 is a wasteful number, since it uses less digits than its factorization.

45605472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45605472 is about 6753.1823609318. The cubic root of 45605472 is about 357.2774874979.

The spelling of 45605472 in words is "forty-five million, six hundred five thousand, four hundred seventy-two".