4398264 has 96 divisors (see below), whose sum is σ = 13278720. Its totient is φ = 1306368.

The previous prime is 4398263. The next prime is 4398287. The reversal of 4398264 is 4628934.

It is a happy number.

4398264 is a `hidden beast` number, since 4 + 398 + 264 = 666.

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 d-powerful number, because it can be written as 4⁸ + 3⁵ + 9⁴ + 8³ + 2¹⁷ + 6² + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4398263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34569 + ... + 34695.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^4398264 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 4398264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639360).

4398264 is an abundant number, since it is smaller than the sum of its proper divisors (8880456).

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

4398264 is a wasteful number, since it uses less digits than its factorization.

4398264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4398264 is about 2097.2038527525. The cubic root of 4398264 is about 163.8427006531.

The spelling of 4398264 in words is "four million, three hundred ninety-eight thousand, two hundred sixty-four".