450144024 has 64 divisors (see below), whose sum is σ = 1233636480. Its totient is φ = 135744000.

The previous prime is 450144011. The next prime is 450144053. The reversal of 450144024 is 420441054.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 450143985 and 450144003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51664 + ... + 59744.

It is an arithmetic number, because the mean of its divisors is an integer number (19275570).

Almost surely, 2^450144024 is an apocalyptic number.

450144024 is a gapful number since it is divisible by the number (44) 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 450144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616818240).

450144024 is an abundant number, since it is smaller than the sum of its proper divisors (783492456).

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

450144024 is a wasteful number, since it uses less digits than its factorization.

450144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8308 counting only the distinct ones).

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

The square root of 450144024 is about 21216.5978422555. The cubic root of 450144024 is about 766.3911769694.

Adding to 450144024 its reverse (420441054), we get a palindrome (870585078).

The spelling of 450144024 in words is "four hundred fifty million, one hundred forty-four thousand, twenty-four".