4814284800 has 288 divisors, whose sum is σ = 17146715040. Its totient is φ = 1184563200.

The previous prime is 4814284793. The next prime is 4814284801. The reversal of 4814284800 is 84824184.

It is a super-2 number, since 2×4814284800² = 46354676271022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4814284801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995595 + ... + 1998005.

It is an arithmetic number, because the mean of its divisors is an integer number (59537205).

Almost surely, 2^4814284800 is an apocalyptic number.

4814284800 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 4814284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573357520).

4814284800 is an abundant number, since it is smaller than the sum of its proper divisors (12332430240).

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

4814284800 is a wasteful number, since it uses less digits than its factorization.

4814284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 4814284800 is about 69385.0473805416. The cubic root of 4814284800 is about 1688.5370437671.

The spelling of 4814284800 in words is "four billion, eight hundred fourteen million, two hundred eighty-four thousand, eight hundred".