4904712000 has 588 divisors, whose sum is σ = 18861083436. Its totient is φ = 1262822400.

The previous prime is 4904711963. The next prime is 4904712017. The reversal of 4904712000 is 2174094.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1478248704 + 3426463296 = 38448^2 + 58536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 169127986 + ... + 169128014.

Almost surely, 2^4904712000 is an apocalyptic number.

4904712000 is a gapful number since it is divisible by the number (40) 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 4904712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430541718).

4904712000 is an abundant number, since it is smaller than the sum of its proper divisors (13956371436).

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

4904712000 is an frugal number, since it uses more digits than its factorization.

4904712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4904712000 is about 70033.6490552934. The cubic root of 4904712000 is about 1699.0435219306.

Adding to 4904712000 its reverse (2174094), we get a palindrome (4906886094).

The spelling of 4904712000 in words is "four billion, nine hundred four million, seven hundred twelve thousand".