206426400 has 72 divisors (see below), whose sum is σ = 671925744. Its totient is φ = 55046400.

The previous prime is 206426399. The next prime is 206426401. The reversal of 206426400 is 4624602.

It is an interprime number because it is at equal distance from previous prime (206426399) and next prime (206426401).

It is a super-2 number, since 2×206426400² = 85223717233920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (206426401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40606 + ... + 45405.

It is an arithmetic number, because the mean of its divisors is an integer number (9332302).

Almost surely, 2^206426400 is an apocalyptic number.

206426400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206426400 is an abundant number, since it is smaller than the sum of its proper divisors (465499344).

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

206426400 is a wasteful number, since it uses less digits than its factorization.

206426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86034 (or 86021 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 206426400 is about 14367.5467634527. The cubic root of 206426400 is about 591.0012683171.

The spelling of 206426400 in words is "two hundred six million, four hundred twenty-six thousand, four hundred".