204461401 has 9 divisors (see below), whose sum is σ = 208232703. Its totient is φ = 200757960.

The previous prime is 204461381. The next prime is 204461407. The reversal of 204461401 is 104164402.

The square root of 204461401 is 14299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2253001 + 202208400 = 1501^2 + 14220^2 .

It is not a de Polignac number, because 204461401 - 2⁹ = 204460889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204461407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1129531 + ... + 1129711.

It is an arithmetic number, because the mean of its divisors is an integer number (23136967).

Almost surely, 2^204461401 is an apocalyptic number.

204461401 is the 14299-th square number.

204461401 is the 7150-th centered octagonal number.

It is an amenable number.

204461401 is a deficient number, since it is larger than the sum of its proper divisors (3771302).

204461401 is an frugal number, since it uses more digits than its factorization.

204461401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 204461401 is about 589.1200144004.

The spelling of 204461401 in words is "two hundred four million, four hundred sixty-one thousand, four hundred one".