4852742400 has 1080 divisors, whose sum is σ = 20977032384. Its totient is φ = 1094860800.

The previous prime is 4852742393. The next prime is 4852742513. The reversal of 4852742400 is 42472584.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 131155182 + ... + 131155218.

Almost surely, 2^4852742400 is an apocalyptic number.

4852742400 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 4852742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488516192).

4852742400 is an abundant number, since it is smaller than the sum of its proper divisors (16124289984).

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

4852742400 is a wasteful number, since it uses less digits than its factorization.

4852742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4852742400 is about 69661.6278879556. The cubic root of 4852742400 is about 1693.0212636450.

The spelling of 4852742400 in words is "four billion, eight hundred fifty-two million, seven hundred forty-two thousand, four hundred".