450430440 has 64 divisors (see below), whose sum is σ = 1369828800. Its totient is φ = 118467072.

The previous prime is 450430417. The next prime is 450430457. The reversal of 450430440 is 44034054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450430440.

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, 16950 + ... + 34469.

It is an arithmetic number, because the mean of its divisors is an integer number (21403575).

Almost surely, 2^450430440 is an apocalyptic number.

450430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450430440 is an abundant number, since it is smaller than the sum of its proper divisors (919398360).

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

450430440 is a wasteful number, since it uses less digits than its factorization.

450430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51506 (or 51502 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 450430440 is about 21223.3465787090. The cubic root of 450430440 is about 766.5536880358.

Adding to 450430440 its reverse (44034054), we get a palindrome (494464494).

The spelling of 450430440 in words is "four hundred fifty million, four hundred thirty thousand, four hundred forty".