406006172 has 96 divisors (see below), whose sum is σ = 905313024. Its totient is φ = 156441600.

The previous prime is 406006171. The next prime is 406006229. The reversal of 406006172 is 271600604.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406006171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417647 + ... + 418617.

It is an arithmetic number, because the mean of its divisors is an integer number (9430344).

Almost surely, 2^406006172 is an apocalyptic number.

It is an amenable number.

406006172 is an abundant number, since it is smaller than the sum of its proper divisors (499306852).

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

406006172 is a wasteful number, since it uses less digits than its factorization.

406006172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 406006172 is about 20149.5948346363. The cubic root of 406006172 is about 740.4758152447.

Adding to 406006172 its reverse (271600604), we get a palindrome (677606776).

The spelling of 406006172 in words is "four hundred six million, six thousand, one hundred seventy-two".