4849286400 has 864 divisors, whose sum is σ = 21493068800. Its totient is φ = 1045094400.

The previous prime is 4849286389. The next prime is 4849286411. The reversal of 4849286400 is 46829484.

4849286400 is a `hidden beast` number, since 4 + 84 + 92 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4849286389) and next prime (4849286411).

It is a tau number, because it is divible by the number of its divisors (864).

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, 22982295 + ... + 22982505.

Almost surely, 2^4849286400 is an apocalyptic number.

4849286400 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 4849286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746534400).

4849286400 is an abundant number, since it is smaller than the sum of its proper divisors (16643782400).

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

4849286400 is a wasteful number, since it uses less digits than its factorization.

4849286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4849286400 is about 69636.8178480321. The cubic root of 4849286400 is about 1692.6192592695.

The spelling of 4849286400 in words is "four billion, eight hundred forty-nine million, two hundred eighty-six thousand, four hundred".