4908800400 has 360 divisors, whose sum is σ = 18888862464. Its totient is φ = 1085414400.

The previous prime is 4908800389. The next prime is 4908800419. The reversal of 4908800400 is 40088094.

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 71 ways as a sum of consecutive naturals, for example, 1821454 + ... + 1824146.

Almost surely, 2^4908800400 is an apocalyptic number.

4908800400 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 4908800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444431232).

4908800400 is an abundant number, since it is smaller than the sum of its proper divisors (13980062064).

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

4908800400 is a wasteful number, since it uses less digits than its factorization.

4908800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4908800400 is about 70062.8318011769. The cubic root of 4908800400 is about 1699.5154789890.

Adding to 4908800400 its reverse (40088094), we get a palindrome (4948888494).

The spelling of 4908800400 in words is "four billion, nine hundred eight million, eight hundred thousand, four hundred".