8404380468 has 144 divisors (see below), whose sum is σ = 23574462912. Its totient is φ = 2503296000.

The previous prime is 8404380461. The next prime is 8404380473. The reversal of 8404380468 is 8640834048.

It is a super-2 number, since 2×8404380468² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8404380461) 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, 7920658 + ... + 7921718.

It is an arithmetic number, because the mean of its divisors is an integer number (163711548).

Almost surely, 2^8404380468 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 8404380468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787231456).

8404380468 is an abundant number, since it is smaller than the sum of its proper divisors (15170082444).

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

8404380468 is a wasteful number, since it uses less digits than its factorization.

8404380468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8404380468 is about 91675.4081965278. The cubic root of 8404380468 is about 2033.1460087096.

The spelling of 8404380468 in words is "eight billion, four hundred four million, three hundred eighty thousand, four hundred sixty-eight".