4289800 has 48 divisors (see below), whose sum is σ = 10127700. Its totient is φ = 1689600.

The previous prime is 4289783. The next prime is 4289821. The reversal of 4289800 is 89824.

It can be written as a sum of positive squares in 6 ways, for example, as 1406596 + 2883204 = 1186^2 + 1698^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17680 + ... + 17920.

Almost surely, 2^4289800 is an apocalyptic number.

4289800 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 4289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063850).

4289800 is an abundant number, since it is smaller than the sum of its proper divisors (5837900).

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

4289800 is a wasteful number, since it uses less digits than its factorization.

4289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4289800 is about 2071.1832367031. The cubic root of 4289800 is about 162.4846533830.

The spelling of 4289800 in words is "four million, two hundred eighty-nine thousand, eight hundred".