4048897600 has 336 divisors, whose sum is σ = 11556260352. Its totient is φ = 1382400000.

The previous prime is 4048897547. The next prime is 4048897603. The reversal of 4048897600 is 67988404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4048897603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22369510 + ... + 22369690.

It is an arithmetic number, because the mean of its divisors is an integer number (34393632).

Almost surely, 2^4048897600 is an apocalyptic number.

4048897600 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 4048897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778130176).

4048897600 is an abundant number, since it is smaller than the sum of its proper divisors (7507362752).

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

4048897600 is a wasteful number, since it uses less digits than its factorization.

4048897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4048897600 is about 63630.9484449195. The cubic root of 4048897600 is about 1593.8432141303.

The spelling of 4048897600 in words is "four billion, forty-eight million, eight hundred ninety-seven thousand, six hundred".