4642416 has 60 divisors (see below), whose sum is σ = 13160368. Its totient is φ = 1527552.

The previous prime is 4642399. The next prime is 4642423. The reversal of 4642416 is 6142464.

4642416 is a `hidden beast` number, since 4 + 642 + 4 + 16 = 666.

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 4642416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14676 + ... + 14988.

Almost surely, 2^4642416 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 4642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580184).

4642416 is an abundant number, since it is smaller than the sum of its proper divisors (8517952).

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

4642416 is a wasteful number, since it uses less digits than its factorization.

4642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

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

The square root of 4642416 is about 2154.6266497934. The cubic root of 4642416 is about 166.8199620710.

The spelling of 4642416 in words is "four million, six hundred forty-two thousand, four hundred sixteen".