450478224 has 120 divisors (see below), whose sum is σ = 1459311360. Its totient is φ = 127056384.

The previous prime is 450478211. The next prime is 450478241. The reversal of 450478224 is 422874054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76804 + ... + 82460.

It is an arithmetic number, because the mean of its divisors is an integer number (12160928).

Almost surely, 2^450478224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450478224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729655680).

450478224 is an abundant number, since it is smaller than the sum of its proper divisors (1008833136).

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

450478224 is a wasteful number, since it uses less digits than its factorization.

450478224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 450478224 is about 21224.4722902597. The cubic root of 450478224 is about 766.5807937425.

It can be divided in two parts, 4504 and 78224, that added together give a palindrome (82728).

The spelling of 450478224 in words is "four hundred fifty million, four hundred seventy-eight thousand, two hundred twenty-four".