4742416 has 60 divisors (see below), whose sum is σ = 11195712. Its totient is φ = 1936704.

The previous prime is 4742407. The next prime is 4742417. The reversal of 4742416 is 6142474.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4742417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17901 + ... + 18163.

Almost surely, 2^4742416 is an apocalyptic number.

4742416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856).

4742416 is an abundant number, since it is smaller than the sum of its proper divisors (6453296).

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

4742416 is a wasteful number, since it uses less digits than its factorization.

4742416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 4742416 is about 2177.7088877993. The cubic root of 4742416 is about 168.0092587490.

The spelling of 4742416 in words is "four million, seven hundred forty-two thousand, four hundred sixteen".