4574875200 has 504 divisors, whose sum is σ = 17837822592. Its totient is φ = 1023160320.

The previous prime is 4574875187. The next prime is 4574875229. The reversal of 4574875200 is 25784754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12465417 + ... + 12465783.

Almost surely, 2^4574875200 is an apocalyptic number.

4574875200 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 4574875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918911296).

4574875200 is an abundant number, since it is smaller than the sum of its proper divisors (13262947392).

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

4574875200 is a wasteful number, since it uses less digits than its factorization.

4574875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 4574875200 is about 67637.8237379057. The cubic root of 4574875200 is about 1660.0700604291.

The spelling of 4574875200 in words is "four billion, five hundred seventy-four million, eight hundred seventy-five thousand, two hundred".