4892421600 has 576 divisors, whose sum is σ = 19686240000. Its totient is φ = 1162598400.

The previous prime is 4892421553. The next prime is 4892421661. The reversal of 4892421600 is 61242984.

4892421600 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 42 + 1 + 600 = 666.

It is a super-2 number, since 2×4892421600² = 47871578224293120000, 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 95 ways as a sum of consecutive naturals, for example, 14018226 + ... + 14018574.

It is an arithmetic number, because the mean of its divisors is an integer number (34177500).

Almost surely, 2^4892421600 is an apocalyptic number.

4892421600 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 4892421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120000).

4892421600 is an abundant number, since it is smaller than the sum of its proper divisors (14793818400).

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

4892421600 is a wasteful number, since it uses less digits than its factorization.

4892421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4892421600 is about 69945.8476251450. The cubic root of 4892421600 is about 1697.6231605146.

The spelling of 4892421600 in words is "four billion, eight hundred ninety-two million, four hundred twenty-one thousand, six hundred".