4213504 has 36 divisors (see below), whose sum is σ = 8543920. Its totient is φ = 2073600.

The previous prime is 4213483. The next prime is 4213519. The reversal of 4213504 is 4053124.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27829 + ... + 27979.

Almost surely, 2^4213504 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 4213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271960).

4213504 is an abundant number, since it is smaller than the sum of its proper divisors (4330416).

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

4213504 is a wasteful number, since it uses less digits than its factorization.

4213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4213504 is about 2052.6821478251. The cubic root of 4213504 is about 161.5155981829.

Adding to 4213504 its reverse (4053124), we get a palindrome (8266628).

The spelling of 4213504 in words is "four million, two hundred thirteen thousand, five hundred four".