206448480 has 192 divisors, whose sum is σ = 825914880. Its totient is φ = 47181312.

The previous prime is 206448479. The next prime is 206448491. The reversal of 206448480 is 84844602.

206448480 is a `hidden beast` number, since 2 + 0 + 644 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26827 + ... + 33653.

It is an arithmetic number, because the mean of its divisors is an integer number (4301640).

Almost surely, 2^206448480 is an apocalyptic number.

206448480 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 206448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412957440).

206448480 is an abundant number, since it is smaller than the sum of its proper divisors (619466400).

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

206448480 is a wasteful number, since it uses less digits than its factorization.

206448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 206448480 is about 14368.3151413101. The cubic root of 206448480 is about 591.0223393344.

The spelling of 206448480 in words is "two hundred six million, four hundred forty-eight thousand, four hundred eighty".