4893860400 has 720 divisors, whose sum is σ = 19683740160. Its totient is φ = 1024358400.

The previous prime is 4893860399. The next prime is 4893860423. The reversal of 4893860400 is 40683984.

It is a super-2 number, since 2×4893860400² = 47899739229376320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 61947561 + ... + 61947639.

It is an arithmetic number, because the mean of its divisors is an integer number (27338528).

Almost surely, 2^4893860400 is an apocalyptic number.

4893860400 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 4893860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841870080).

4893860400 is an abundant number, since it is smaller than the sum of its proper divisors (14789879760).

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

4893860400 is a wasteful number, since it uses less digits than its factorization.

4893860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4893860400 is about 69956.1319685415. The cubic root of 4893860400 is about 1697.7895607830.

The spelling of 4893860400 in words is "four billion, eight hundred ninety-three million, eight hundred sixty thousand, four hundred".