4735416 has 64 divisors (see below), whose sum is σ = 13754880. Its totient is φ = 1330560.

The previous prime is 4735387. The next prime is 4735417. The reversal of 4735416 is 6145374.

It is an Ulam number.

Its product of digits (10080) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735417) 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, 11730 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (214920).

Almost surely, 2^4735416 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 4735416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877440).

4735416 is an abundant number, since it is smaller than the sum of its proper divisors (9019464).

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

4735416 is a wasteful number, since it uses less digits than its factorization.

4735416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 4735416 is about 2176.1011005925. The cubic root of 4735416 is about 167.9265551983.

It can be divided in two parts, 4735 and 416, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 4735416 in words is "four million, seven hundred thirty-five thousand, four hundred sixteen".