408228336 has 140 divisors (see below), whose sum is σ = 1225209280. Its totient is φ = 131569920.

The previous prime is 408228299. The next prime is 408228341. The reversal of 408228336 is 633822804.

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

It is a self number, because there is not a number n which added to its sum of digits gives 408228336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 361020 + ... + 362148.

Almost surely, 2^408228336 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 408228336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612604640).

408228336 is an abundant number, since it is smaller than the sum of its proper divisors (816980944).

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

408228336 is a wasteful number, since it uses less digits than its factorization.

408228336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 408228336 is about 20204.6612443763. The cubic root of 408228336 is about 741.8242888377.

The spelling of 408228336 in words is "four hundred eight million, two hundred twenty-eight thousand, three hundred thirty-six".