450631320 has 128 divisors (see below), whose sum is σ = 1382883840. Its totient is φ = 117447680.

The previous prime is 450631309. The next prime is 450631331. The reversal of 450631320 is 23136054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450631309) and next prime (450631331).

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

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, 1933924 + ... + 1934156.

It is an arithmetic number, because the mean of its divisors is an integer number (10803780).

Almost surely, 2^450631320 is an apocalyptic number.

450631320 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 450631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691441920).

450631320 is an abundant number, since it is smaller than the sum of its proper divisors (932252520).

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

450631320 is a wasteful number, since it uses less digits than its factorization.

450631320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 450631320 is about 21228.0785753209. The cubic root of 450631320 is about 766.6676252876.

Adding to 450631320 its reverse (23136054), we get a palindrome (473767374).

The spelling of 450631320 in words is "four hundred fifty million, six hundred thirty-one thousand, three hundred twenty".