408802368 has 112 divisors (see below), whose sum is σ = 1215639936. Its totient is φ = 120299520.

The previous prime is 408802343. The next prime is 408802369. The reversal of 408802368 is 863208804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (408802369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53848 + ... + 60968.

It is an arithmetic number, because the mean of its divisors is an integer number (10853928).

Almost surely, 2^408802368 is an apocalyptic number.

408802368 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 408802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607819968).

408802368 is an abundant number, since it is smaller than the sum of its proper divisors (806837568).

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

408802368 is a wasteful number, since it uses less digits than its factorization.

408802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 408802368 is about 20218.8616890269. The cubic root of 408802368 is about 742.1718324416.

The spelling of 408802368 in words is "four hundred eight million, eight hundred two thousand, three hundred sixty-eight".