450223920 has 400 divisors, whose sum is σ = 1707935328. Its totient is φ = 109486080.

The previous prime is 450223861. The next prime is 450223931. The reversal of 450223920 is 29322054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6719727 + ... + 6719793.

Almost surely, 2^450223920 is an apocalyptic number.

450223920 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 450223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853967664).

450223920 is an abundant number, since it is smaller than the sum of its proper divisors (1257711408).

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

450223920 is a wasteful number, since it uses less digits than its factorization.

450223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 450223920 is about 21218.4806242106. The cubic root of 450223920 is about 766.4365165081.

Adding to 450223920 its reverse (29322054), we get a palindrome (479545974).

The spelling of 450223920 in words is "four hundred fifty million, two hundred twenty-three thousand, nine hundred twenty".