4855302400 has 243 divisors, whose sum is σ = 13210300971. Its totient is φ = 1765969920.

The previous prime is 4855302371. The next prime is 4855302407. The reversal of 4855302400 is 42035584.

The square root of 4855302400 is 69680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1251461376 + 3603841024 = 35376^2 + 60032^2 .

It is a super-2 number, since 2×4855302400² = 47147922790891520000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4855302407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72467167 + ... + 72467233.

Almost surely, 2^4855302400 is an apocalyptic number.

4855302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4855302400 is the 69680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4855302400

4855302400 is an abundant number, since it is smaller than the sum of its proper divisors (8354998571).

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

4855302400 is an equidigital number, since it uses as much as digits as its factorization.

4855302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The cubic root of 4855302400 is about 1693.3189216263.

Adding to 4855302400 its reverse (42035584), we get a palindrome (4897337984).

The spelling of 4855302400 in words is "four billion, eight hundred fifty-five million, three hundred two thousand, four hundred".