4048800 has 144 divisors (see below), whose sum is σ = 15124032. Its totient is φ = 921600.

The previous prime is 4048783. The next prime is 4048813. The reversal of 4048800 is 88404.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16680 + ... + 16920.

It is an arithmetic number, because the mean of its divisors is an integer number (105028).

Almost surely, 2^4048800 is an apocalyptic number.

4048800 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 4048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

4048800 is an abundant number, since it is smaller than the sum of its proper divisors (11075232).

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

4048800 is a wasteful number, since it uses less digits than its factorization.

4048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4048800 is about 2012.1630152649. The cubic root of 4048800 is about 159.3830407323.

The spelling of 4048800 in words is "four million, forty-eight thousand, eight hundred".