450054440 has 64 divisors (see below), whose sum is σ = 1107112320. Its totient is φ = 163296000.

The previous prime is 450054431. The next prime is 450054467. The reversal of 450054440 is 44450054.

450054440 = 229² + 230² + ... + 1108².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276830 + ... + 278450.

It is an arithmetic number, because the mean of its divisors is an integer number (17298630).

Almost surely, 2^450054440 is an apocalyptic number.

450054440 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 450054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553556160).

450054440 is an abundant number, since it is smaller than the sum of its proper divisors (657057880).

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

450054440 is a wasteful number, since it uses less digits than its factorization.

450054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 450054440 is about 21214.4865598958. The cubic root of 450054440 is about 766.3403332849.

The spelling of 450054440 in words is "four hundred fifty million, fifty-four thousand, four hundred forty".