4790253600 has 288 divisors, whose sum is σ = 18900665280. Its totient is φ = 1161216000.

The previous prime is 4790253593. The next prime is 4790253607. The reversal of 4790253600 is 63520974.

4790253600 is a `hidden beast` number, since 47 + 9 + 0 + 2 + 5 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4790253593) and next prime (4790253607).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4790253607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227520 + ... + 247680.

It is an arithmetic number, because the mean of its divisors is an integer number (65627310).

Almost surely, 2^4790253600 is an apocalyptic number.

4790253600 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 4790253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450332640).

4790253600 is an abundant number, since it is smaller than the sum of its proper divisors (14110411680).

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

4790253600 is a wasteful number, since it uses less digits than its factorization.

4790253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4790253600 is about 69211.6579775402. The cubic root of 4790253600 is about 1685.7228302873.

The spelling of 4790253600 in words is "four billion, seven hundred ninety million, two hundred fifty-three thousand, six hundred".