406006100 has 18 divisors (see below), whose sum is σ = 881033454. Its totient is φ = 162402400.

The previous prime is 406006093. The next prime is 406006103. The reversal of 406006100 is 1600604.

It can be written as a sum of positive squares in 3 ways, for example, as 1674436 + 404331664 = 1294^2 + 20108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406006103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2029931 + ... + 2030130.

It is an arithmetic number, because the mean of its divisors is an integer number (48946303).

Almost surely, 2^406006100 is an apocalyptic number.

It is an amenable number.

406006100 is an abundant number, since it is smaller than the sum of its proper divisors (475027354).

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

406006100 is a wasteful number, since it uses less digits than its factorization.

406006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060075 (or 4060068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 406006100 is about 20149.5930479998. The cubic root of 406006100 is about 740.4757714734.

Adding to 406006100 its reverse (1600604), we get a palindrome (407606704).

The spelling of 406006100 in words is "four hundred six million, six thousand, one hundred".