408454249 has 12 divisors (see below), whose sum is σ = 475975764. Its totient is φ = 349488384.

The previous prime is 408454243. The next prime is 408454303. The reversal of 408454249 is 942454804.

It can be written as a sum of positive squares in 2 ways, for example, as 108056025 + 300398224 = 10395^2 + 17332^2 .

It is not a de Polignac number, because 408454249 - 2¹¹ = 408452201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408454243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22029 + ... + 36085.

It is an arithmetic number, because the mean of its divisors is an integer number (39664647).

Almost surely, 2^408454249 is an apocalyptic number.

408454249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

408454249 is a deficient number, since it is larger than the sum of its proper divisors (67521515).

408454249 is a wasteful number, since it uses less digits than its factorization.

408454249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 408454249 is about 20210.2510870103. The cubic root of 408454249 is about 741.9611051168.

The spelling of 408454249 in words is "four hundred eight million, four hundred fifty-four thousand, two hundred forty-nine".