4290385200 has 480 divisors, whose sum is σ = 15319662336. Its totient is φ = 1021870080.

The previous prime is 4290385199. The next prime is 4290385237. The reversal of 4290385200 is 25830924.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58772364 + ... + 58772436.

Almost surely, 2^4290385200 is an apocalyptic number.

4290385200 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 4290385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659831168).

4290385200 is an abundant number, since it is smaller than the sum of its proper divisors (11029277136).

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

4290385200 is a wasteful number, since it uses less digits than its factorization.

4290385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4290385200 is about 65501.0320529379. The cubic root of 4290385200 is about 1624.9204158263.

The spelling of 4290385200 in words is "four billion, two hundred ninety million, three hundred eighty-five thousand, two hundred".