206429040 has 80 divisors (see below), whose sum is σ = 711040800. Its totient is φ = 55047168.

The previous prime is 206428993. The next prime is 206429087. The reversal of 206429040 is 40924602.

It is an interprime number because it is at equal distance from previous prime (206428993) and next prime (206429087).

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

It is a super-2 number, since 2×206429040² = 85225897110643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206428995 and 206429013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45625 + ... + 49944.

It is an arithmetic number, because the mean of its divisors is an integer number (8888010).

Almost surely, 2^206429040 is an apocalyptic number.

206429040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206429040 is an abundant number, since it is smaller than the sum of its proper divisors (504611760).

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

206429040 is a wasteful number, since it uses less digits than its factorization.

206429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95591 (or 95579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206429040 is about 14367.6386368811. The cubic root of 206429040 is about 591.0037877569.

The spelling of 206429040 in words is "two hundred six million, four hundred twenty-nine thousand, forty".