450987600 has 240 divisors, whose sum is σ = 1683856512. Its totient is φ = 101038080.

The previous prime is 450987587. The next prime is 450987617. The reversal of 450987600 is 6789054.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444694 + ... + 445706.

Almost surely, 2^450987600 is an apocalyptic number.

450987600 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 450987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841928256).

450987600 is an abundant number, since it is smaller than the sum of its proper divisors (1232868912).

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

450987600 is a wasteful number, since it uses less digits than its factorization.

450987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 450987600 is about 21236.4686329907. The cubic root of 450987600 is about 766.8696207069.

The spelling of 450987600 in words is "four hundred fifty million, nine hundred eighty-seven thousand, six hundred".