7846401 has 16 divisors (see below), whose sum is σ = 11168064. Its totient is φ = 4882944.

The previous prime is 7846357. The next prime is 7846403. The reversal of 7846401 is 1046487.

7846401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

7846401 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 7846401 - 2⁶ = 7846337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7846403) 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, 6426 + ... + 7548.

It is an arithmetic number, because the mean of its divisors is an integer number (698004).

Almost surely, 2^7846401 is an apocalyptic number.

It is an amenable number.

7846401 is a deficient number, since it is larger than the sum of its proper divisors (3321663).

7846401 is a wasteful number, since it uses less digits than its factorization.

7846401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7846401 is about 2801.1428025004. The cubic root of 7846401 is about 198.7117279259.

The spelling of 7846401 in words is "seven million, eight hundred forty-six thousand, four hundred one".