4633416 has 64 divisors (see below), whose sum is σ = 13560000. Its totient is φ = 1461888.

The previous prime is 4633411. The next prime is 4633423. The reversal of 4633416 is 6143364.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 4633416.

It is not an unprimeable number, because it can be changed into a prime (4633411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (211875).

Almost surely, 2^4633416 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 4633416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780000).

4633416 is an abundant number, since it is smaller than the sum of its proper divisors (8926584).

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

4633416 is a wasteful number, since it uses less digits than its factorization.

4633416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4633416 is about 2152.5371076941. The cubic root of 4633416 is about 166.7120907299.

The spelling of 4633416 in words is "four million, six hundred thirty-three thousand, four hundred sixteen".