4854297600 has 330 divisors, whose sum is σ = 17982571574. Its totient is φ = 1293926400.

The previous prime is 4854297557. The next prime is 4854297647. The reversal of 4854297600 is 67924584.

It is a happy number.

4854297600 is a `hidden beast` number, since 48 + 542 + 9 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 504631296 + 4349666304 = 22464^2 + 65952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072430 + ... + 2074770.

Almost surely, 2^4854297600 is an apocalyptic number.

4854297600 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 4854297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991285787).

4854297600 is an abundant number, since it is smaller than the sum of its proper divisors (13128273974).

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

4854297600 is a wasteful number, since it uses less digits than its factorization.

4854297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4854297600 is about 69672.7895236010. The cubic root of 4854297600 is about 1693.2021033455.

The spelling of 4854297600 in words is "four billion, eight hundred fifty-four million, two hundred ninety-seven thousand, six hundred".