8405460 has 108 divisors (see below), whose sum is σ = 29690388. Its totient is φ = 1919232.

The previous prime is 8405431. The next prime is 8405461. The reversal of 8405460 is 645048.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 5143824 = 1806^2 + 2268^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8344 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (274911).

Almost surely, 2^8405460 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 8405460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845194).

8405460 is an abundant number, since it is smaller than the sum of its proper divisors (21284928).

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

8405460 is a wasteful number, since it uses less digits than its factorization.

8405460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8405460 is about 2899.2171357109. The cubic root of 8405460 is about 203.3233056657.

The spelling of 8405460 in words is "eight million, four hundred five thousand, four hundred sixty".