4808000400 has 240 divisors, whose sum is σ = 17866665984. Its totient is φ = 1082442240.

The previous prime is 4808000399. The next prime is 4808000413. The reversal of 4808000400 is 40008084.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4808000400³ (a number of 30 digits) contains 333 as substring.

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 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, 558529 + ... + 567071.

Almost surely, 2^4808000400 is an apocalyptic number.

4808000400 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 4808000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8933332992).

4808000400 is an abundant number, since it is smaller than the sum of its proper divisors (13058665584).

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

4808000400 is a wasteful number, since it uses less digits than its factorization.

4808000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8627 counting only the distinct ones).

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

The square root of 4808000400 is about 69339.7461777875. The cubic root of 4808000400 is about 1687.8020046589.

Adding to 4808000400 its reverse (40008084), we get a palindrome (4848008484).

The spelling of 4808000400 in words is "four billion, eight hundred eight million, four hundred", and thus it is an aban number.