4886546400 has 432 divisors, whose sum is σ = 18371480400. Its totient is φ = 1253468160.

The previous prime is 4886546393. The next prime is 4886546437. The reversal of 4886546400 is 46456884.

4886546400 = 106³ + 107³ + ... + 374³.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18165466 + ... + 18165734.

It is an arithmetic number, because the mean of its divisors is an integer number (42526575).

Almost surely, 2^4886546400 is an apocalyptic number.

4886546400 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 4886546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185740200).

4886546400 is an abundant number, since it is smaller than the sum of its proper divisors (13484934000).

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

4886546400 is a wasteful number, since it uses less digits than its factorization.

4886546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4886546400 is about 69903.8368045703. The cubic root of 4886546400 is about 1696.9433423834.

The spelling of 4886546400 in words is "four billion, eight hundred eighty-six million, five hundred forty-six thousand, four hundred".