45252240 has 160 divisors (see below), whose sum is σ = 156097152. Its totient is φ = 10752000.

The previous prime is 45252239. The next prime is 45252241. The reversal of 45252240 is 4225254.

It is a happy number.

45252240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45252239) and next prime (45252241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45252240.

It is not an unprimeable number, because it can be changed into a prime (45252241) 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 31 ways as a sum of consecutive naturals, for example, 160900 + ... + 161180.

Almost surely, 2^45252240 is an apocalyptic number.

45252240 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 45252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78048576).

45252240 is an abundant number, since it is smaller than the sum of its proper divisors (110844912).

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

45252240 is a wasteful number, since it uses less digits than its factorization.

45252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45252240 is about 6726.9785193651. The cubic root of 45252240 is about 356.3526783134.

Adding to 45252240 its reverse (4225254), we get a palindrome (49477494).

The spelling of 45252240 in words is "forty-five million, two hundred fifty-two thousand, two hundred forty".