408484521 has 9 divisors (see below), whose sum is σ = 590120791. Its totient is φ = 272282592.

The previous prime is 408484519. The next prime is 408484537. The reversal of 408484521 is 125484804.

The square root of 408484521 is 20211.

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., 208658025 + 199826496 = 14445^2 + 14136^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 408484521 - 2¹ = 408484519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408484511) 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, 57265 + ... + 64001.

Almost surely, 2^408484521 is an apocalyptic number.

408484521 is the 20211-st square number.

408484521 is the 10106-th centered octagonal number.

It is an amenable number.

408484521 is a deficient number, since it is larger than the sum of its proper divisors (181636270).

408484521 is an frugal number, since it uses more digits than its factorization.

408484521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The cubic root of 408484521 is about 741.9794344578.

Multiplying 408484521 by its sum of digits (36), we get a square (14705442756 = 121266²).

It can be divided in two parts, 40848 and 4521, that added together give a square (45369 = 213²).

The spelling of 408484521 in words is "four hundred eight million, four hundred eighty-four thousand, five hundred twenty-one".