4740249600 has 504 divisors, whose sum is σ = 17760113280. Its totient is φ = 1254113280.

The previous prime is 4740249593. The next prime is 4740249601. The reversal of 4740249600 is 69420474.

4740249600 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 2 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740249601) 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 41 ways as a sum of consecutive naturals, for example, 37324737 + ... + 37324863.

It is an arithmetic number, because the mean of its divisors is an integer number (35238320).

Almost surely, 2^4740249600 is an apocalyptic number.

4740249600 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 4740249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880056640).

4740249600 is an abundant number, since it is smaller than the sum of its proper divisors (13019863680).

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

4740249600 is an equidigital number, since it uses as much as digits as its factorization.

4740249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4740249600 is about 68849.4705861999. The cubic root of 4740249600 is about 1679.8367188249.

The spelling of 4740249600 in words is "four billion, seven hundred forty million, two hundred forty-nine thousand, six hundred".