4298086800 has 360 divisors, whose sum is σ = 17680493376. Its totient is φ = 982264320.

The previous prime is 4298086799. The next prime is 4298086817. The reversal of 4298086800 is 86808924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 677242 + ... + 683558.

Almost surely, 2^4298086800 is an apocalyptic number.

4298086800 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 4298086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840246688).

4298086800 is an abundant number, since it is smaller than the sum of its proper divisors (13382406576).

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

4298086800 is a wasteful number, since it uses less digits than its factorization.

4298086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4298086800 is about 65559.7956067589. The cubic root of 4298086800 is about 1625.8921239416.

The spelling of 4298086800 in words is "four billion, two hundred ninety-eight million, eighty-six thousand, eight hundred".