408896768 has 108 divisors (see below), whose sum is σ = 976220532. Its totient is φ = 170311680.

The previous prime is 408896759. The next prime is 408896771. The reversal of 408896768 is 867698804.

It can be written as a sum of positive squares in 2 ways, for example, as 225240064 + 183656704 = 15008^2 + 13552^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463688 + ... + 464568.

It is an arithmetic number, because the mean of its divisors is an integer number (9039079).

Almost surely, 2^408896768 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 408896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488110266).

408896768 is an abundant number, since it is smaller than the sum of its proper divisors (567323764).

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

408896768 is an equidigital number, since it uses as much as digits as its factorization.

408896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 408896768 is about 20221.1960081495. The cubic root of 408896768 is about 742.2289550958.

The spelling of 408896768 in words is "four hundred eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".