4742016 has 64 divisors (see below), whose sum is σ = 12888720. Its totient is φ = 1544192.

The previous prime is 4742011. The next prime is 4742021. The reversal of 4742016 is 6102474.

It is an interprime number because it is at equal distance from previous prime (4742011) and next prime (4742021).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742011) 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, 20236 + ... + 20468.

Almost surely, 2^4742016 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 4742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444360).

4742016 is an abundant number, since it is smaller than the sum of its proper divisors (8146704).

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

4742016 is a wasteful number, since it uses less digits than its factorization.

4742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4742016 is about 2177.6170462228. The cubic root of 4742016 is about 168.0045350250.

The spelling of 4742016 in words is "four million, seven hundred forty-two thousand, sixteen".