1000414206 has 128 divisors (see below), whose sum is σ = 2529792000. Its totient is φ = 292723200.

The previous prime is 1000414169. The next prime is 1000414229. The reversal of 1000414206 is 6024140001.

It is a super-2 number, since 2×1000414206² = 2001657167133220872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2227870 + ... + 2228318.

It is an arithmetic number, because the mean of its divisors is an integer number (19764000).

Almost surely, 2^1000414206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000414206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264896000).

1000414206 is an abundant number, since it is smaller than the sum of its proper divisors (1529377794).

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

1000414206 is a wasteful number, since it uses less digits than its factorization.

1000414206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000414206 is about 31629.3250955502. The cubic root of 1000414206 is about 1000.1380496081.

Adding to 1000414206 its reverse (6024140001), we get a palindrome (7024554207).

The spelling of 1000414206 in words is "one billion, four hundred fourteen thousand, two hundred six".