206532480 has 384 divisors, whose sum is σ = 833495040. Its totient is φ = 42577920.

The previous prime is 206532463. The next prime is 206532481. The reversal of 206532480 is 84235602.

206532480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206532481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626177 + ... + 1626303.

It is an arithmetic number, because the mean of its divisors is an integer number (2170560).

Almost surely, 2^206532480 is an apocalyptic number.

206532480 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 206532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416747520).

206532480 is an abundant number, since it is smaller than the sum of its proper divisors (626962560).

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

206532480 is a wasteful number, since it uses less digits than its factorization.

206532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 206532480 is about 14371.2379425017. The cubic root of 206532480 is about 591.1024870864.

The spelling of 206532480 in words is "two hundred six million, five hundred thirty-two thousand, four hundred eighty".