4983638400 has 1152 divisors, whose sum is σ = 21753295200. Its totient is φ = 1114767360.

The previous prime is 4983638353. The next prime is 4983638411. The reversal of 4983638400 is 48363894.

4983638400 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 171849586 + ... + 171849614.

Almost surely, 2^4983638400 is an apocalyptic number.

4983638400 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 4983638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876647600).

4983638400 is an abundant number, since it is smaller than the sum of its proper divisors (16769656800).

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

4983638400 is a wasteful number, since it uses less digits than its factorization.

4983638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4983638400 is about 70594.8893334355. The cubic root of 4983638400 is about 1708.1087123005.

The spelling of 4983638400 in words is "four billion, nine hundred eighty-three million, six hundred thirty-eight thousand, four hundred".