4298985600 has 1152 divisors, whose sum is σ = 19176897600. Its totient is φ = 836075520.

The previous prime is 4298985569. The next prime is 4298985611. The reversal of 4298985600 is 65898924.

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, 116188782 + ... + 116188818.

Almost surely, 2^4298985600 is an apocalyptic number.

4298985600 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 4298985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588448800).

4298985600 is an abundant number, since it is smaller than the sum of its proper divisors (14877912000).

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

4298985600 is a wasteful number, since it uses less digits than its factorization.

4298985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 4298985600 is about 65566.6500593099. The cubic root of 4298985600 is about 1626.0054495565.

The spelling of 4298985600 in words is "four billion, two hundred ninety-eight million, nine hundred eighty-five thousand, six hundred".