8413440 has 144 divisors (see below), whose sum is σ = 30807168. Its totient is φ = 1916928.

The previous prime is 8413439. The next prime is 8413463. The reversal of 8413440 is 443148.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8413440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26724 + ... + 27036.

Almost surely, 2^8413440 is an apocalyptic number.

8413440 is a gapful number since it is divisible by the number (80) 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 8413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403584).

8413440 is an abundant number, since it is smaller than the sum of its proper divisors (22393728).

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

8413440 is a wasteful number, since it uses less digits than its factorization.

8413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8413440 is about 2900.5930428104. The cubic root of 8413440 is about 203.3876292040.

Adding to 8413440 its reverse (443148), we get a palindrome (8856588).

The spelling of 8413440 in words is "eight million, four hundred thirteen thousand, four hundred forty".