4213464 has 24 divisors (see below), whose sum is σ = 10558860. Its totient is φ = 1401136.

The previous prime is 4213463. The next prime is 4213471. The reversal of 4213464 is 4643124.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9847 + ... + 10265.

Almost surely, 2^4213464 is an apocalyptic number.

It is an amenable number.

4213464 is an abundant number, since it is smaller than the sum of its proper divisors (6345396).

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

4213464 is an equidigital number, since it uses as much as digits as its factorization.

4213464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 424 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4213464 is about 2052.6724044523. The cubic root of 4213464 is about 161.5150870766.

Multiplying 4213464 by its sum of digits (24), we get a square (101123136 = 10056²).

4213464 divided by its sum of digits (24) gives a square (175561 = 419²).

Adding to 4213464 its reverse (4643124), we get a palindrome (8856588).

The spelling of 4213464 in words is "four million, two hundred thirteen thousand, four hundred sixty-four".