4884462000 has 400 divisors, whose sum is σ = 19253973024. Its totient is φ = 1183680000.

The previous prime is 4884461941. The next prime is 4884462013. The reversal of 4884462000 is 2644884.

4884462000 is a `hidden beast` number, since 4 + 8 + 8 + 446 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1780630 + ... + 1783370.

Almost surely, 2^4884462000 is an apocalyptic number.

4884462000 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 4884462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626986512).

4884462000 is an abundant number, since it is smaller than the sum of its proper divisors (14369511024).

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

4884462000 is a wasteful number, since it uses less digits than its factorization.

4884462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4884462000 is about 69888.9261614456. The cubic root of 4884462000 is about 1696.7020259566.

The spelling of 4884462000 in words is "four billion, eight hundred eighty-four million, four hundred sixty-two thousand".