4600416 has 48 divisors (see below), whose sum is σ = 12189744. Its totient is φ = 1519104.

The previous prime is 4600411. The next prime is 4600423. The reversal of 4600416 is 6140064.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4600392 and 4600401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4600411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16470 + ... + 16746.

It is an arithmetic number, because the mean of its divisors is an integer number (253953).

Almost surely, 2^4600416 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 4600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094872).

4600416 is an abundant number, since it is smaller than the sum of its proper divisors (7589328).

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

4600416 is a wasteful number, since it uses less digits than its factorization.

4600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4600416 is about 2144.8580372603. The cubic root of 4600416 is about 166.3153631464.

The spelling of 4600416 in words is "four million, six hundred thousand, four hundred sixteen".