4216464 has 120 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1165824.

The previous prime is 4216441. The next prime is 4216469. The reversal of 4216464 is 4646124.

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 (4216469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47332 + ... + 47420.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^4216464 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 4216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4216464 is an abundant number, since it is smaller than the sum of its proper divisors (9711216).

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

4216464 is a wasteful number, since it uses less digits than its factorization.

4216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4216464 is about 2053.4030291202. The cubic root of 4216464 is about 161.5534110707.

The spelling of 4216464 in words is "four million, two hundred sixteen thousand, four hundred sixty-four".