407111329 has 3 divisors (see below), whose sum is σ = 407131507. Its totient is φ = 407091152.

The previous prime is 407111323. The next prime is 407111389. The reversal of 407111329 is 923111704.

The square root of 407111329 is 20177.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 282744225 + 124367104 = 16815^2 + 11152^2 .

It is not a de Polignac number, because 407111329 - 2⁵ = 407111297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407111297 and 407111306.

It is not an unprimeable number, because it can be changed into a prime (407111323) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10089 + ... + 30265.

Almost surely, 2^407111329 is an apocalyptic number.

407111329 is the 20177-th square number.

407111329 is the 10089-th centered octagonal number.

It is an amenable number.

407111329 is a deficient number, since it is larger than the sum of its proper divisors (20178).

407111329 is an frugal number, since it uses more digits than its factorization.

407111329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40354 (or 20177 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 407111329 is about 741.1470699310.

It can be divided in two parts, 4071 and 11329, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 407111329 in words is "four hundred seven million, one hundred eleven thousand, three hundred twenty-nine".