4869446400 has 648 divisors, whose sum is σ = 21449981280. Its totient is φ = 1026293760.

The previous prime is 4869446399. The next prime is 4869446419. The reversal of 4869446400 is 46449684.

4869446400 is a `hidden beast` number, since 486 + 94 + 46 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5241136 + ... + 5242064.

Almost surely, 2^4869446400 is an apocalyptic number.

4869446400 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 4869446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724990640).

4869446400 is an abundant number, since it is smaller than the sum of its proper divisors (16580534880).

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

4869446400 is a wasteful number, since it uses less digits than its factorization.

4869446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4869446400 is about 69781.4187302035. The cubic root of 4869446400 is about 1694.9615988376.

The spelling of 4869446400 in words is "four billion, eight hundred sixty-nine million, four hundred forty-six thousand, four hundred".