450144240 has 160 divisors (see below), whose sum is σ = 1717556736. Its totient is φ = 94970880.

The previous prime is 450144229. The next prime is 450144259. The reversal of 450144240 is 42441054.

It is a happy number.

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 450144240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11535 + ... + 32145.

Almost surely, 2^450144240 is an apocalyptic number.

450144240 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 450144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858778368).

450144240 is an abundant number, since it is smaller than the sum of its proper divisors (1267412496).

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

450144240 is a wasteful number, since it uses less digits than its factorization.

450144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20647 (or 20641 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 450144240 is about 21216.6029326092. The cubic root of 450144240 is about 766.3912995527.

Adding to 450144240 its reverse (42441054), we get a palindrome (492585294).

The spelling of 450144240 in words is "four hundred fifty million, one hundred forty-four thousand, two hundred forty".