4801200 has 60 divisors (see below), whose sum is σ = 15383688. Its totient is φ = 1280000.

The previous prime is 4801189. The next prime is 4801201. The reversal of 4801200 is 21084.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4801200.

It is not an unprimeable number, because it can be changed into a prime (4801201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801 + ... + 3200.

Almost surely, 2^4801200 is an apocalyptic number.

4801200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4801200 is an abundant number, since it is smaller than the sum of its proper divisors (10582488).

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

4801200 is a wasteful number, since it uses less digits than its factorization.

4801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4801200 is about 2191.1640741852. The cubic root of 4801200 is about 168.7005891002.

Adding to 4801200 its reverse (21084), we get a palindrome (4822284).

The spelling of 4801200 in words is "four million, eight hundred one thousand, two hundred".