206304384 has 288 divisors, whose sum is σ = 687655440. Its totient is φ = 54312960.

The previous prime is 206304377. The next prime is 206304391. The reversal of 206304384 is 483403602.

It is an interprime number because it is at equal distance from previous prime (206304377) and next prime (206304391).

It is a super-2 number, since 2×206304384² = 85122997715238912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12135544 + ... + 12135560.

Almost surely, 2^206304384 is an apocalyptic number.

206304384 is a gapful number since it is divisible by the number (24) 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 206304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343827720).

206304384 is an abundant number, since it is smaller than the sum of its proper divisors (481351056).

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

206304384 is a wasteful number, since it uses less digits than its factorization.

206304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 206304384 is about 14363.2998993964. The cubic root of 206304384 is about 590.8848009409.

Adding to 206304384 its reverse (483403602), we get a palindrome (689707986).

It can be divided in two parts, 206 and 304384, that added together give a triangular number (304590 = T₇₈₀).

The spelling of 206304384 in words is "two hundred six million, three hundred four thousand, three hundred eighty-four".