45024772 has 72 divisors (see below), whose sum is σ = 94589208. Its totient is φ = 18570240.

The previous prime is 45024767. The next prime is 45024779. The reversal of 45024772 is 27742054.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 36168196 = 2976^2 + 6014^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45024779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849498 + ... + 849550.

It is an arithmetic number, because the mean of its divisors is an integer number (1313739).

Almost surely, 2^45024772 is an apocalyptic number.

It is an amenable number.

45024772 is an abundant number, since it is smaller than the sum of its proper divisors (49564436).

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

45024772 is a wasteful number, since it uses less digits than its factorization.

45024772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 45024772 is about 6710.0500743288. The cubic root of 45024772 is about 355.7545861511.

It can be divided in two parts, 45024 and 772, that added together give a square (45796 = 214²).

The spelling of 45024772 in words is "forty-five million, twenty-four thousand, seven hundred seventy-two".