424401201 has 63 divisors (see below), whose sum is σ = 747051291. Its totient is φ = 240290064.

The previous prime is 424401199. The next prime is 424401227. The reversal of 424401201 is 102104424.

The square root of 424401201 is 20601.

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

424401201 is a `hidden beast` number, since 424 + 40 + 1 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295805601 + 128595600 = 17199^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 424401201 - 2¹ = 424401199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (424401281) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3893535 + ... + 3893643.

It is an arithmetic number, because the mean of its divisors is an integer number (11857957).

Almost surely, 2^424401201 is an apocalyptic number.

424401201 is the 20601-st square number.

424401201 is the 10301-st centered octagonal number.

It is an amenable number.

424401201 is a deficient number, since it is larger than the sum of its proper divisors (322650090).

424401201 is an frugal number, since it uses more digits than its factorization.

424401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The cubic root of 424401201 is about 751.4940298568.

Multiplying 424401201 by its product of nonzero digits (256), we get a square (108646707456 = 329616²).

Adding to 424401201 its reverse (102104424), we get a palindrome (526505625).

The spelling of 424401201 in words is "four hundred twenty-four million, four hundred one thousand, two hundred one".