408678816 has 288 divisors, whose sum is σ = 1385149248. Its totient is φ = 104509440.

The previous prime is 408678811. The next prime is 408678841. The reversal of 408678816 is 618876804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (408678811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507151 + ... + 2507313.

It is an arithmetic number, because the mean of its divisors is an integer number (4809546).

Almost surely, 2^408678816 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 408678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692574624).

408678816 is an abundant number, since it is smaller than the sum of its proper divisors (976470432).

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

408678816 is a wasteful number, since it uses less digits than its factorization.

408678816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 408678816 is about 20215.8060932529. The cubic root of 408678816 is about 742.0970562492.

It can be divided in two parts, 4086788 and 16, that added together give a palindrome (4086804).

The spelling of 408678816 in words is "four hundred eight million, six hundred seventy-eight thousand, eight hundred sixteen".