4198464 has 84 divisors (see below), whose sum is σ = 12422124. Its totient is φ = 1354752.

The previous prime is 4198457. The next prime is 4198471. The reversal of 4198464 is 4648914.

It is a happy number.

4198464 is a `hidden beast` number, since 4 + 198 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (4198457) and next prime (4198471).

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 230400 = 1992^2 + 480^2 .

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 an Ulam number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21214 + ... + 21410.

Almost surely, 2^4198464 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 4198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211062).

4198464 is an abundant number, since it is smaller than the sum of its proper divisors (8223660).

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

4198464 is a wasteful number, since it uses less digits than its factorization.

4198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

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

The square root of 4198464 is about 2049.0153732952. The cubic root of 4198464 is about 161.3231937408.

The spelling of 4198464 in words is "four million, one hundred ninety-eight thousand, four hundred sixty-four".