204450466242 has 128 divisors (see below), whose sum is σ = 456195649536. Its totient is φ = 60569600000.

The previous prime is 204450466229. The next prime is 204450466271. The reversal of 204450466242 is 242664054402.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 204450466242.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224423767 + ... + 224424677.

It is an arithmetic number, because the mean of its divisors is an integer number (3564028512).

Almost surely, 2^204450466242 is an apocalyptic number.

204450466242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204450466242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228097824768).

204450466242 is an abundant number, since it is smaller than the sum of its proper divisors (251745183294).

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

204450466242 is a wasteful number, since it uses less digits than its factorization.

204450466242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416.

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 204450466242 in words is "two hundred four billion, four hundred fifty million, four hundred sixty-six thousand, two hundred forty-two".