450939900 has 144 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 116163840.

The previous prime is 450939899. The next prime is 450939941. The reversal of 450939900 is 9939054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255921 + ... + 1256279.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^450939900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450939900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

450939900 is an abundant number, since it is smaller than the sum of its proper divisors (898973700).

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

450939900 is a wasteful number, since it uses less digits than its factorization.

450939900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 450939900 is about 21235.3455352156. The cubic root of 450939900 is about 766.8425830303.

The spelling of 450939900 in words is "four hundred fifty million, nine hundred thirty-nine thousand, nine hundred".