204973413400 has 48 divisors (see below), whose sum is σ = 544643645040. Its totient is φ = 70276598400.

The previous prime is 204973413349. The next prime is 204973413401. The reversal of 204973413400 is 4314379402.

204973413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204973413400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204973413401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73203391 + ... + 73206190.

It is an arithmetic number, because the mean of its divisors is an integer number (11346742605).

Almost surely, 2^204973413400 is an apocalyptic number.

204973413400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204973413400 is an abundant number, since it is smaller than the sum of its proper divisors (339670231640).

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

204973413400 is a wasteful number, since it uses less digits than its factorization.

204973413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146409604 (or 146409595 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 204973413400 in words is "two hundred four billion, nine hundred seventy-three million, four hundred thirteen thousand, four hundred".