4462416 has 120 divisors (see below), whose sum is σ = 15088320. Its totient is φ = 1202688.

The previous prime is 4462387. The next prime is 4462429. The reversal of 4462416 is 6142644.

4462416 is nontrivially palindromic in base 11.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4462416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19036 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

Almost surely, 2^4462416 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 4462416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544160).

4462416 is an abundant number, since it is smaller than the sum of its proper divisors (10625904).

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

4462416 is a wasteful number, since it uses less digits than its factorization.

4462416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

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

The square root of 4462416 is about 2112.4431353293. The cubic root of 4462416 is about 164.6354485959.

The spelling of 4462416 in words is "four million, four hundred sixty-two thousand, four hundred sixteen".