414733225 has 9 divisors (see below), whose sum is σ = 514395493. Its totient is φ = 331705120.

The previous prime is 414733219. The next prime is 414733271. The reversal of 414733225 is 522337414.

It is a happy number.

The square root of 414733225 is 20365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 129663769 + 285069456 = 11387^2 + 16884^2 .

It is not a de Polignac number, because 414733225 - 2¹³ = 414725033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99789 + ... + 103861.

Almost surely, 2^414733225 is an apocalyptic number.

414733225 is the 20365-th square number.

414733225 is the 10183-rd centered octagonal number.

It is an amenable number.

414733225 is a deficient number, since it is larger than the sum of its proper divisors (99662268).

414733225 is an frugal number, since it uses more digits than its factorization.

414733225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 4078 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The cubic root of 414733225 is about 745.7437282640.

The spelling of 414733225 in words is "four hundred fourteen million, seven hundred thirty-three thousand, two hundred twenty-five".