8493408 has 144 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2200320.

The previous prime is 8493377. The next prime is 8493413. The reversal of 8493408 is 8043948.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21985 + ... + 22367.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 2^8493408 is an apocalyptic number.

8493408 is a gapful number since it is divisible by the number (88) 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 8493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

8493408 is an abundant number, since it is smaller than the sum of its proper divisors (21698208).

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

8493408 is a wasteful number, since it uses less digits than its factorization.

8493408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8493408 is about 2914.3452094767. The cubic root of 8493408 is about 204.0299840587.

The spelling of 8493408 in words is "eight million, four hundred ninety-three thousand, four hundred eight".