4630287200 has 144 divisors (see below), whose sum is σ = 14093097984. Its totient is φ = 1443187200.

The previous prime is 4630287187. The next prime is 4630287239. The reversal of 4630287200 is 27820364.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24017 + ... + 99183.

It is an arithmetic number, because the mean of its divisors is an integer number (97868736).

Almost surely, 2^4630287200 is an apocalyptic number.

4630287200 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 4630287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046548992).

4630287200 is an abundant number, since it is smaller than the sum of its proper divisors (9462810784).

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

4630287200 is a wasteful number, since it uses less digits than its factorization.

4630287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75205 (or 75192 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4630287200 is about 68046.2137080382. The cubic root of 4630287200 is about 1666.7455713755.

The spelling of 4630287200 in words is "four billion, six hundred thirty million, two hundred eighty-seven thousand, two hundred".