408493008 has 360 divisors, whose sum is σ = 1532625120. Its totient is φ = 100154880.

The previous prime is 408492979. The next prime is 408493009. The reversal of 408493008 is 800394804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408493009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474566 + ... + 1474842.

It is an arithmetic number, because the mean of its divisors is an integer number (4257292).

Almost surely, 2^408493008 is an apocalyptic number.

408493008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408493008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766312560).

408493008 is an abundant number, since it is smaller than the sum of its proper divisors (1124132112).

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

408493008 is a wasteful number, since it uses less digits than its factorization.

408493008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 408493008 is about 20211.2099588323. The cubic root of 408493008 is about 741.9845730743.

The spelling of 408493008 in words is "four hundred eight million, four hundred ninety-three thousand, eight".