4785253200 has 720 divisors, whose sum is σ = 21234502016. Its totient is φ = 1007769600.

The previous prime is 4785253171. The next prime is 4785253219. The reversal of 4785253200 is 23525874.

4785253200 is a `hidden beast` number, since 4 + 78 + 52 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4785253200² = 45797296376220480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8844930 + ... + 8845470.

Almost surely, 2^4785253200 is an apocalyptic number.

4785253200 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 4785253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617251008).

4785253200 is an abundant number, since it is smaller than the sum of its proper divisors (16449248816).

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

4785253200 is a wasteful number, since it uses less digits than its factorization.

4785253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4785253200 is about 69175.5245733634. The cubic root of 4785253200 is about 1685.1360678127.

The spelling of 4785253200 in words is "four billion, seven hundred eighty-five million, two hundred fifty-three thousand, two hundred".