408969729 has 63 divisors (see below), whose sum is σ = 720012657. Its totient is φ = 231512904.

The previous prime is 408969719. The next prime is 408969733. The reversal of 408969729 is 927969804.

The square root of 408969729 is 20223.

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

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

It is not a de Polignac number, because 408969729 - 2⁹ = 408969217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (408969719) 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, 3822094 + ... + 3822200.

Almost surely, 2^408969729 is an apocalyptic number.

408969729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

408969729 is the 20223-rd square number.

408969729 is the 10112-nd centered octagonal number.

It is an amenable number.

408969729 is a deficient number, since it is larger than the sum of its proper divisors (311042928).

408969729 is an frugal number, since it uses more digits than its factorization.

408969729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The cubic root of 408969729 is about 742.2730987122.

It can be divided in two parts, 40896 and 9729, that added together give a 4-th power (50625 = 15⁴).

The spelling of 408969729 in words is "four hundred eight million, nine hundred sixty-nine thousand, seven hundred twenty-nine".