4855046400 has 324 divisors, whose sum is σ = 17924408320. Its totient is φ = 1252454400.

The previous prime is 4855046377. The next prime is 4855046401. The reversal of 4855046400 is 46405584.

4855046400 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4855046401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784241 + ... + 1786959.

Almost surely, 2^4855046400 is an apocalyptic number.

4855046400 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 4855046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962204160).

4855046400 is an abundant number, since it is smaller than the sum of its proper divisors (13069361920).

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

4855046400 is a wasteful number, since it uses less digits than its factorization.

4855046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4855046400 is about 69678.1630067843. The cubic root of 4855046400 is about 1693.2891605371.

The spelling of 4855046400 in words is "four billion, eight hundred fifty-five million, forty-six thousand, four hundred".