7946484 has 96 divisors (see below), whose sum is σ = 24084480. Its totient is φ = 1980288.

The previous prime is 7946483. The next prime is 7946489. The reversal of 7946484 is 4846497.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 7³ + 9⁷ + 4⁵ + 6² + 4⁷ + 8⁷ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7946483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20557 + ... + 20939.

It is an arithmetic number, because the mean of its divisors is an integer number (250880).

Almost surely, 2^7946484 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 7946484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042240).

7946484 is an abundant number, since it is smaller than the sum of its proper divisors (16137996).

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

7946484 is a wasteful number, since it uses less digits than its factorization.

7946484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 7946484 is about 2818.9508686744. The cubic root of 7946484 is about 199.5530351897.

The spelling of 7946484 in words is "seven million, nine hundred forty-six thousand, four hundred eighty-four".