4146984 has 64 divisors (see below), whose sum is σ = 11721600. Its totient is φ = 1358208.

The previous prime is 4146979. The next prime is 4147001. The reversal of 4146984 is 4896414.

It is a happy number.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 15637 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (183150).

Almost surely, 2^4146984 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 4146984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860800).

4146984 is an abundant number, since it is smaller than the sum of its proper divisors (7574616).

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

4146984 is a wasteful number, since it uses less digits than its factorization.

4146984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4146984 is about 2036.4144961181. The cubic root of 4146984 is about 160.6611186673.

The spelling of 4146984 in words is "four million, one hundred forty-six thousand, nine hundred eighty-four".