408313116 has 96 divisors (see below), whose sum is σ = 1121164800. Its totient is φ = 128148480.

The previous prime is 408313067. The next prime is 408313117. The reversal of 408313116 is 611313804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 408313116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408313117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395521 + ... + 396551.

It is an arithmetic number, because the mean of its divisors is an integer number (11678800).

Almost surely, 2^408313116 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 408313116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560582400).

408313116 is an abundant number, since it is smaller than the sum of its proper divisors (712851684).

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

408313116 is a wasteful number, since it uses less digits than its factorization.

408313116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 408313116 is about 20206.7591661800. The cubic root of 408313116 is about 741.8756387845.

The spelling of 408313116 in words is "four hundred eight million, three hundred thirteen thousand, one hundred sixteen".