4754995200 has 432 divisors, whose sum is σ = 18060719040. Its totient is φ = 1191444480.

The previous prime is 4754995199. The next prime is 4754995207. The reversal of 4754995200 is 25994574.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754995207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7833297 + ... + 7833903.

It is an arithmetic number, because the mean of its divisors is an integer number (41807220).

Almost surely, 2^4754995200 is an apocalyptic number.

4754995200 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 4754995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030359520).

4754995200 is an abundant number, since it is smaller than the sum of its proper divisors (13305723840).

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

4754995200 is a wasteful number, since it uses less digits than its factorization.

4754995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4754995200 is about 68956.4732276818. The cubic root of 4754995200 is about 1681.5767509821.

The spelling of 4754995200 in words is "four billion, seven hundred fifty-four million, nine hundred ninety-five thousand, two hundred".