207830221456 has 135 divisors (see below), whose sum is σ = 479873005563. Its totient is φ = 87092079360.

The previous prime is 207830221451. The next prime is 207830221517. The reversal of 207830221456 is 654122038702.

The square root of 207830221456 is 455884.

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 32369767056 + 175460454400 = 179916^2 + 418880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207830221451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260765250 + ... + 260766046.

Almost surely, 2^207830221456 is an apocalyptic number.

207830221456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

207830221456 is the 455884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207830221456

207830221456 is an abundant number, since it is smaller than the sum of its proper divisors (272042784107).

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

207830221456 is an equidigital number, since it uses as much as digits as its factorization.

207830221456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 207830221456 in words is "two hundred seven billion, eight hundred thirty million, two hundred twenty-one thousand, four hundred fifty-six".