4867387200 has 672 divisors, whose sum is σ = 19525000320. Its totient is φ = 1186928640.

The previous prime is 4867387139. The next prime is 4867387211. The reversal of 4867387200 is 27837684.

It is a happy number.

4867387200 is a `hidden beast` number, since 4 + 8 + 67 + 387 + 200 = 666.

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 95 ways as a sum of consecutive naturals, for example, 45489547 + ... + 45489653.

It is an arithmetic number, because the mean of its divisors is an integer number (29055060).

Almost surely, 2^4867387200 is an apocalyptic number.

4867387200 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 4867387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762500160).

4867387200 is an abundant number, since it is smaller than the sum of its proper divisors (14657613120).

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

4867387200 is a wasteful number, since it uses less digits than its factorization.

4867387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4867387200 is about 69766.6625258798. The cubic root of 4867387200 is about 1694.7226423771.

The spelling of 4867387200 in words is "four billion, eight hundred sixty-seven million, three hundred eighty-seven thousand, two hundred".