4692427200 has 420 divisors, whose sum is σ = 17435398200. Its totient is φ = 1242915840.

The previous prime is 4692427177. The next prime is 4692427237. The reversal of 4692427200 is 27242964.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31492726 + ... + 31492874.

Almost surely, 2^4692427200 is an apocalyptic number.

4692427200 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 4692427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717699100).

4692427200 is an abundant number, since it is smaller than the sum of its proper divisors (12742971000).

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

4692427200 is an frugal number, since it uses more digits than its factorization.

4692427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4692427200 is about 68501.2934184458. The cubic root of 4692427200 is about 1674.1685574288.

The spelling of 4692427200 in words is "four billion, six hundred ninety-two million, four hundred twenty-seven thousand, two hundred".