4910284800 has 510 divisors, whose sum is σ = 18682598198. Its totient is φ = 1274019840.

The previous prime is 4910284759. The next prime is 4910284807. The reversal of 4910284800 is 84820194.

It can be written as a sum of positive squares in 3 ways, for example, as 1040449536 + 3869835264 = 32256^2 + 62208^2 .

It is a super-2 number, since 2×4910284800² = 48221793634222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4910284807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132710382 + ... + 132710418.

Almost surely, 2^4910284800 is an apocalyptic number.

4910284800 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 4910284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341299099).

4910284800 is an abundant number, since it is smaller than the sum of its proper divisors (13772313398).

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

4910284800 is an frugal number, since it uses more digits than its factorization.

4910284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4910284800 is about 70073.4243490355. The cubic root of 4910284800 is about 1699.6867704332.

It can be divided in two parts, 49 and 10284800, that added together give a square (10284849 = 3207²).

The spelling of 4910284800 in words is "four billion, nine hundred ten million, two hundred eighty-four thousand, eight hundred".