450938000 has 80 divisors (see below), whose sum is σ = 1137891456. Its totient is φ = 172515200.

The previous prime is 450937999. The next prime is 450938021. The reversal of 450938000 is 839054.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41099 + ... + 50901.

Almost surely, 2^450938000 is an apocalyptic number.

450938000 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 450938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568945728).

450938000 is an abundant number, since it is smaller than the sum of its proper divisors (686953456).

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

450938000 is a wasteful number, since it uses less digits than its factorization.

450938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 450938000 is about 21235.3007984347. The cubic root of 450938000 is about 766.8415060183.

The spelling of 450938000 in words is "four hundred fifty million, nine hundred thirty-eight thousand".