45126240 has 96 divisors (see below), whose sum is σ = 145678176. Its totient is φ = 11735040.

The previous prime is 45126229. The next prime is 45126247. The reversal of 45126240 is 4262154.

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

It is a super-3 number, since 3×45126240³ (a number of 24 digits) contains 333 as substring.

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 45126240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45126247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18534 + ... + 20826.

It is an arithmetic number, because the mean of its divisors is an integer number (1517481).

Almost surely, 2^45126240 is an apocalyptic number.

45126240 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 45126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72839088).

45126240 is an abundant number, since it is smaller than the sum of its proper divisors (100551936).

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

45126240 is a wasteful number, since it uses less digits than its factorization.

45126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45126240 is about 6717.6067166812. The cubic root of 45126240 is about 356.0216289514.

Adding to 45126240 its reverse (4262154), we get a palindrome (49388394).

The spelling of 45126240 in words is "forty-five million, one hundred twenty-six thousand, two hundred forty".