4864883400 has 576 divisors, whose sum is σ = 18645681600. Its totient is φ = 1128314880.

The previous prime is 4864883383. The next prime is 4864883431. The reversal of 4864883400 is 43884684.

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 143 ways as a sum of consecutive naturals, for example, 45466147 + ... + 45466253.

It is an arithmetic number, because the mean of its divisors is an integer number (32370975).

Almost surely, 2^4864883400 is an apocalyptic number.

4864883400 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 4864883400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322840800).

4864883400 is an abundant number, since it is smaller than the sum of its proper divisors (13780798200).

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

4864883400 is a wasteful number, since it uses less digits than its factorization.

4864883400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4864883400 is about 69748.7161172161. The cubic root of 4864883400 is about 1694.4320022338.

The spelling of 4864883400 in words is "four billion, eight hundred sixty-four million, eight hundred eighty-three thousand, four hundred".