4742100 has 108 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1147200.

The previous prime is 4742081. The next prime is 4742107. The reversal of 4742100 is 12474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9661 + ... + 10139.

Almost surely, 2^4742100 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 4742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4742100 is an abundant number, since it is smaller than the sum of its proper divisors (11506860).

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

4742100 is a wasteful number, since it uses less digits than its factorization.

4742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4742100 is about 2177.6363332751. The cubic root of 4742100 is about 168.0055270290.

Adding to 4742100 its reverse (12474), we get a palindrome (4754574).

The spelling of 4742100 in words is "four million, seven hundred forty-two thousand, one hundred".