4213296 has 50 divisors (see below), whose sum is σ = 12198252. Its totient is φ = 1404000.

The previous prime is 4213277. The next prime is 4213309. The reversal of 4213296 is 6923124.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330 + ... + 2921.

Almost surely, 2^4213296 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 4213296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099126).

4213296 is an abundant number, since it is smaller than the sum of its proper divisors (7984956).

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

4213296 is a wasteful number, since it uses less digits than its factorization.

4213296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3256 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4213296 is about 2052.6314817814. The cubic root of 4213296 is about 161.5129403952.

Subtracting from 4213296 its product of digits (2592), we obtain a square (4210704 = 2052²).

The spelling of 4213296 in words is "four million, two hundred thirteen thousand, two hundred ninety-six".