408966144 has 176 divisors, whose sum is σ = 1188504576. Its totient is φ = 124518400.

The previous prime is 408966139. The next prime is 408966157. The reversal of 408966144 is 441669804.

It is a junction number, because it is equal to n+sod(n) for n = 408966096 and 408966105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141089 + ... + 2141279.

Almost surely, 2^408966144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594252288).

408966144 is an abundant number, since it is smaller than the sum of its proper divisors (779538432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408966144 is a wasteful number, since it uses less digits than its factorization.

408966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 408966144 is about 20222.9113631050. The cubic root of 408966144 is about 742.2709298012.

The spelling of 408966144 in words is "four hundred eight million, nine hundred sixty-six thousand, one hundred forty-four".