450124240 has 80 divisors (see below), whose sum is σ = 1101335760. Its totient is φ = 170864640.

The previous prime is 450124211. The next prime is 450124243. The reversal of 450124240 is 42421054.

It is a happy number.

450124240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27081616 + 423042624 = 5204^2 + 20568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×450124240² = 405223662871155200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450124243) 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, 119506 + ... + 123214.

It is an arithmetic number, because the mean of its divisors is an integer number (13766697).

Almost surely, 2^450124240 is an apocalyptic number.

450124240 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 450124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550667880).

450124240 is an abundant number, since it is smaller than the sum of its proper divisors (651211520).

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

450124240 is a wasteful number, since it uses less digits than its factorization.

450124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 450124240 is about 21216.1315983852. The cubic root of 450124240 is about 766.3799490776.

Adding to 450124240 its reverse (42421054), we get a palindrome (492545294).

The spelling of 450124240 in words is "four hundred fifty million, one hundred twenty-four thousand, two hundred forty".