450020198400 has 576 divisors, whose sum is σ = 1604625422400. Its totient is φ = 110886912000.

The previous prime is 450020198399. The next prime is 450020198437. The reversal of 450020198400 is 4891020054.

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, 119652520 + ... + 119656280.

It is an arithmetic number, because the mean of its divisors is an integer number (2785808025).

Almost surely, 2^450020198400 is an apocalyptic number.

450020198400 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 450020198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802312711200).

450020198400 is an abundant number, since it is smaller than the sum of its proper divisors (1154605224000).

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

450020198400 is a wasteful number, since it uses less digits than its factorization.

450020198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 450020198400 in words is "four hundred fifty billion, twenty million, one hundred ninety-eight thousand, four hundred".