4812998400 has 864 divisors, whose sum is σ = 21168645120. Its totient is φ = 1046200320.

The previous prime is 4812998383. The next prime is 4812998417. The reversal of 4812998400 is 48992184.

4812998400 is a `hidden beast` number, since 481 + 2 + 99 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4812998383) and next prime (4812998417).

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, 27820714 + ... + 27820886.

Almost surely, 2^4812998400 is an apocalyptic number.

4812998400 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 4812998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584322560).

4812998400 is an abundant number, since it is smaller than the sum of its proper divisors (16355646720).

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

4812998400 is a wasteful number, since it uses less digits than its factorization.

4812998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4812998400 is about 69375.7767524083. The cubic root of 4812998400 is about 1688.3866353028.

The spelling of 4812998400 in words is "four billion, eight hundred twelve million, nine hundred ninety-eight thousand, four hundred".