4892472000 has 336 divisors, whose sum is σ = 18851038752. Its totient is φ = 1204070400.

The previous prime is 4892471993. The next prime is 4892472019. The reversal of 4892472000 is 2742984.

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 47 ways as a sum of consecutive naturals, for example, 933387 + ... + 938613.

It is an arithmetic number, because the mean of its divisors is an integer number (56104282).

Almost surely, 2^4892472000 is an apocalyptic number.

4892472000 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 4892472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425519376).

4892472000 is an abundant number, since it is smaller than the sum of its proper divisors (13958566752).

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

4892472000 is a wasteful number, since it uses less digits than its factorization.

4892472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4892472000 is about 69946.2079029307. The cubic root of 4892472000 is about 1697.6289899327.

The spelling of 4892472000 in words is "four billion, eight hundred ninety-two million, four hundred seventy-two thousand".