45045240 has 128 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 11110400.

The previous prime is 45045227. The next prime is 45045241. The reversal of 45045240 is 4254054.

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 45045240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144685 + ... + 144995.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 2^45045240 is an apocalyptic number.

45045240 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 45045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

45045240 is an abundant number, since it is smaller than the sum of its proper divisors (100521480).

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

45045240 is a wasteful number, since it uses less digits than its factorization.

45045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

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

The square root of 45045240 is about 6711.5750759416. The cubic root of 45045240 is about 355.8084859743.

Adding to 45045240 its reverse (4254054), we get a palindrome (49299294).

The spelling of 45045240 in words is "forty-five million, forty-five thousand, two hundred forty".