4048588800 has 468 divisors, whose sum is σ = 15210883584. Its totient is φ = 1027276800.

The previous prime is 4048588781. The next prime is 4048588867. The reversal of 4048588800 is 88858404.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 21196705 + ... + 21196895.

It is an arithmetic number, because the mean of its divisors is an integer number (32501888).

Almost surely, 2^4048588800 is an apocalyptic number.

4048588800 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 4048588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605441792).

4048588800 is an abundant number, since it is smaller than the sum of its proper divisors (11162294784).

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

4048588800 is a wasteful number, since it uses less digits than its factorization.

4048588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 4048588800 is about 63628.5219064532. The cubic root of 4048588800 is about 1593.8026935288.

The spelling of 4048588800 in words is "four billion, forty-eight million, five hundred eighty-eight thousand, eight hundred".