204777972 has 108 divisors (see below), whose sum is σ = 624632736. Its totient is φ = 55404000.

The previous prime is 204777949. The next prime is 204778003. The reversal of 204777972 is 279777402.

It is a happy number.

204777972 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

204777972 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89847 + ... + 92097.

Almost surely, 2^204777972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204777972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312316368).

204777972 is an abundant number, since it is smaller than the sum of its proper divisors (419854764).

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

204777972 is a wasteful number, since it uses less digits than its factorization.

204777972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 204777972 is about 14310.0654086555. The cubic root of 204777972 is about 589.4239057315.

The spelling of 204777972 in words is "two hundred four million, seven hundred seventy-seven thousand, nine hundred seventy-two".