4194464 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1943040.

The previous prime is 4194451. The next prime is 4194493. The reversal of 4194464 is 4644914.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4² + 1 + 9 + 4³ + 4³ + 6 + 4¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 4194464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30107 + ... + 30245.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^4194464 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 4194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

4194464 is an abundant number, since it is smaller than the sum of its proper divisors (4696096).

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

4194464 is a wasteful number, since it uses less digits than its factorization.

4194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 4194464 is about 2048.0390621275. The cubic root of 4194464 is about 161.2719450132.

It can be divided in two parts, 41 and 94464, that multiplied together give a square (3873024 = 1968²).

The spelling of 4194464 in words is "four million, one hundred ninety-four thousand, four hundred sixty-four".