4238800 has 30 divisors (see below), whose sum is σ = 10184678. Its totient is φ = 1695360.

The previous prime is 4238791. The next prime is 4238807. The reversal of 4238800 is 88324.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 4227136 = 108^2 + 2056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4899 + ... + 5698.

Almost surely, 2^4238800 is an apocalyptic number.

4238800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4238800 is an abundant number, since it is smaller than the sum of its proper divisors (5945878).

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

4238800 is a wasteful number, since it uses less digits than its factorization.

4238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4238800 is about 2058.8346218189. The cubic root of 4238800 is about 161.8381760575.

The spelling of 4238800 in words is "four million, two hundred thirty-eight thousand, eight hundred".