4845086400 has 336 divisors, whose sum is σ = 19819802880. Its totient is φ = 1006694400.

The previous prime is 4845086387. The next prime is 4845086401. The reversal of 4845086400 is 46805484.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4845086401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 363046 + ... + 376154.

Almost surely, 2^4845086400 is an apocalyptic number.

4845086400 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 4845086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909901440).

4845086400 is an abundant number, since it is smaller than the sum of its proper divisors (14974716480).

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

4845086400 is a wasteful number, since it uses less digits than its factorization.

4845086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 4845086400 is about 69606.6548542594. The cubic root of 4845086400 is about 1692.1304550981.

The spelling of 4845086400 in words is "four billion, eight hundred forty-five million, eighty-six thousand, four hundred".