408664048 has 40 divisors (see below), whose sum is σ = 860288688. Its totient is φ = 186934272.

The previous prime is 408664043. The next prime is 408664049. The reversal of 408664048 is 840466804.

It is a self number, because there is not a number n which added to its sum of digits gives 408664048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408664043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14811 + ... + 32197.

Almost surely, 2^408664048 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 408664048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430144344).

408664048 is an abundant number, since it is smaller than the sum of its proper divisors (451624640).

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

408664048 is a wasteful number, since it uses less digits than its factorization.

408664048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17515 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 408664048 is about 20215.4408312062. The cubic root of 408664048 is about 742.0881173458.

The spelling of 408664048 in words is "four hundred eight million, six hundred sixty-four thousand, forty-eight".