414163201 has 9 divisors (see below), whose sum is σ = 424142211. Its totient is φ = 404415072.

The previous prime is 414163171. The next prime is 414163213. The reversal of 414163201 is 102361414.

The square root of 414163201 is 20351.

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., 46444225 + 367718976 = 6815^2 + 19176^2 .

It is not a de Polignac number, because 414163201 - 2¹⁹ = 413638913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414163261) 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, 956281 + ... + 956713.

Almost surely, 2^414163201 is an apocalyptic number.

414163201 is the 20351-st square number.

414163201 is the 10176-th centered octagonal number.

It is an amenable number.

414163201 is a deficient number, since it is larger than the sum of its proper divisors (9979010).

414163201 is an frugal number, since it uses more digits than its factorization.

414163201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 414163201 is about 745.4019127708.

Multiplying 414163201 by its product of nonzero digits (576), we get a square (238558003776 = 488424²).

The spelling of 414163201 in words is "four hundred fourteen million, one hundred sixty-three thousand, two hundred one".