4859222400 has 336 divisors, whose sum is σ = 18006103860. Its totient is φ = 1295170560.

The previous prime is 4859222399. The next prime is 4859222429. The reversal of 4859222400 is 42229584.

4859222400 is a `hidden beast` number, since 4 + 8 + 592 + 22 + 40 + 0 = 666.

It is a super-2 number, since 2×4859222400² = 47224084665323520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2331759 + ... + 2333841.

Almost surely, 2^4859222400 is an apocalyptic number.

4859222400 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 4859222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003051930).

4859222400 is an abundant number, since it is smaller than the sum of its proper divisors (13146881460).

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

4859222400 is an equidigital number, since it uses as much as digits as its factorization.

4859222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4859222400 is about 69708.1229126133. The cubic root of 4859222400 is about 1693.7745077085.

The spelling of 4859222400 in words is "four billion, eight hundred fifty-nine million, two hundred twenty-two thousand, four hundred".