450031920 has 80 divisors (see below), whose sum is σ = 1502424672. Its totient is φ = 110776320.

The previous prime is 450031919. The next prime is 450031943. The reversal of 450031920 is 29130054.

450031920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 69001 + ... + 75240.

Almost surely, 2^450031920 is an apocalyptic number.

450031920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450031920 is an abundant number, since it is smaller than the sum of its proper divisors (1052392752).

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

450031920 is a wasteful number, since it uses less digits than its factorization.

450031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144270 (or 144264 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 450031920 is about 21213.9557838702. The cubic root of 450031920 is about 766.3275509260.

Adding to 450031920 its reverse (29130054), we get a palindrome (479161974).

The spelling of 450031920 in words is "four hundred fifty million, thirty-one thousand, nine hundred twenty".