45240320 has 78 divisors (see below), whose sum is σ = 110922522. Its totient is φ = 17711104.

The previous prime is 45240313. The next prime is 45240329. The reversal of 45240320 is 2304254.

It can be written as a sum of positive squares in only one way, i.e., 36192256 + 9048064 = 6016^2 + 3008^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45240292 and 45240301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45240329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 962537 + ... + 962583.

Almost surely, 2^45240320 is an apocalyptic number.

45240320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55461261).

45240320 is an abundant number, since it is smaller than the sum of its proper divisors (65682202).

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

45240320 is an frugal number, since it uses more digits than its factorization.

45240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45240320 is about 6726.0924763194. The cubic root of 45240320 is about 356.3213863306.

Multiplying 45240320 by its sum of digits (20), we get a square (904806400 = 30080²).

45240320 divided by its sum of digits (20) gives a square (2262016 = 1504²).

Adding to 45240320 its reverse (2304254), we get a palindrome (47544574).

The spelling of 45240320 in words is "forty-five million, two hundred forty thousand, three hundred twenty".