4287630400 has 63 divisors (see below), whose sum is σ = 10556699359. Its totient is φ = 1714004480.

The previous prime is 4287630397. The next prime is 4287630427. The reversal of 4287630400 is 40367824.

The square root of 4287630400 is 65480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2002025536 + 2285604864 = 44744^2 + 47808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2618382 + ... + 2620018.

Almost surely, 2^4287630400 is an apocalyptic number.

4287630400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4287630400 is the 65480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287630400

4287630400 is an abundant number, since it is smaller than the sum of its proper divisors (6269068959).

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

4287630400 is an frugal number, since it uses more digits than its factorization.

4287630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 4287630400 is about 1624.5725613440.

The spelling of 4287630400 in words is "four billion, two hundred eighty-seven million, six hundred thirty thousand, four hundred".