204972768 has 480 divisors, whose sum is σ = 819624960. Its totient is φ = 48522240.

The previous prime is 204972767. The next prime is 204972797. The reversal of 204972768 is 867279402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204972767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594553 + ... + 2594631.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^204972768 is an apocalyptic number.

204972768 is a gapful number since it is divisible by the number (28) 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 204972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).

204972768 is an abundant number, since it is smaller than the sum of its proper divisors (614652192).

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

204972768 is a wasteful number, since it uses less digits than its factorization.

204972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 204972768 is about 14316.8700490016. The cubic root of 204972768 is about 589.6107439127.

The spelling of 204972768 in words is "two hundred four million, nine hundred seventy-two thousand, seven hundred sixty-eight".