206378480 has 80 divisors (see below), whose sum is σ = 598247424. Its totient is φ = 64323840.

The previous prime is 206378477. The next prime is 206378503. The reversal of 206378480 is 84873602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×206378480² = 85184154014220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10592 + ... + 22911.

Almost surely, 2^206378480 is an apocalyptic number.

206378480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206378480 is an abundant number, since it is smaller than the sum of its proper divisors (391868944).

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

206378480 is a wasteful number, since it uses less digits than its factorization.

206378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33534 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 206378480 is about 14365.8790193987. The cubic root of 206378480 is about 590.9555329322.

The spelling of 206378480 in words is "two hundred six million, three hundred seventy-eight thousand, four hundred eighty".