207988480 has 144 divisors (see below), whose sum is σ = 576898560. Its totient is φ = 70373376.

The previous prime is 207988453. The next prime is 207988541. The reversal of 207988480 is 84889702.

It is a self number, because there is not a number n which added to its sum of digits gives 207988480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245357 + ... + 1245523.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2^207988480 is an apocalyptic number.

207988480 is a gapful number since it is divisible by the number (20) 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 207988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288449280).

207988480 is an abundant number, since it is smaller than the sum of its proper divisors (368910080).

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

207988480 is a wasteful number, since it uses less digits than its factorization.

207988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 207988480 is about 14421.8057121846. The cubic root of 207988480 is about 592.4882750325.

It can be divided in two parts, 20 and 7988480, that multiplied together give a square (159769600 = 12640²).

The spelling of 207988480 in words is "two hundred seven million, nine hundred eighty-eight thousand, four hundred eighty".