206191480 has 64 divisors (see below), whose sum is σ = 508394880. Its totient is φ = 74640000.

The previous prime is 206191471. The next prime is 206191499. The reversal of 206191480 is 84191602.

206191480 = 100² + 101² + ... + 852².

It is a happy number.

206191480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109507 + ... + 111373.

It is an arithmetic number, because the mean of its divisors is an integer number (7943670).

Almost surely, 2^206191480 is an apocalyptic number.

206191480 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 206191480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254197440).

206191480 is an abundant number, since it is smaller than the sum of its proper divisors (302203400).

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

206191480 is a wasteful number, since it uses less digits than its factorization.

206191480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 206191480 is about 14359.3690669193. The cubic root of 206191480 is about 590.7769902876.

The spelling of 206191480 in words is "two hundred six million, one hundred ninety-one thousand, four hundred eighty".