4892804400 has 360 divisors, whose sum is σ = 17799749632. Its totient is φ = 1146816000.

The previous prime is 4892804393. The next prime is 4892804401. The reversal of 4892804400 is 44082984.

It is not an unprimeable number, because it can be changed into a prime (4892804401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4500657 + ... + 4501743.

Almost surely, 2^4892804400 is an apocalyptic number.

4892804400 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 4892804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899874816).

4892804400 is an abundant number, since it is smaller than the sum of its proper divisors (12906945232).

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

4892804400 is a wasteful number, since it uses less digits than its factorization.

4892804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4892804400 is about 69948.5839742307. The cubic root of 4892804400 is about 1697.6674353305.

The spelling of 4892804400 in words is "four billion, eight hundred ninety-two million, eight hundred four thousand, four hundred".