4748858400 has 576 divisors, whose sum is σ = 18473567616. Its totient is φ = 1044480000.

The previous prime is 4748858399. The next prime is 4748858419. The reversal of 4748858400 is 48588474.

It is a super-2 number, since 2×4748858400² = 45103312206501120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4748858400.

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 95 ways as a sum of consecutive naturals, for example, 34663132 + ... + 34663268.

It is an arithmetic number, because the mean of its divisors is an integer number (32072166).

Almost surely, 2^4748858400 is an apocalyptic number.

4748858400 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 4748858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236783808).

4748858400 is an abundant number, since it is smaller than the sum of its proper divisors (13724709216).

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

4748858400 is a wasteful number, since it uses less digits than its factorization.

4748858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 4748858400 is about 68911.9612259004. The cubic root of 4748858400 is about 1680.8530248507.

The spelling of 4748858400 in words is "four billion, seven hundred forty-eight million, eight hundred fifty-eight thousand, four hundred".