406506133 has 16 divisors (see below), whose sum is σ = 454804416. Its totient is φ = 360138240.

The previous prime is 406506119. The next prime is 406506173. The reversal of 406506133 is 331605604.

It is not a de Polignac number, because 406506133 - 2⁹ = 406505621 is a prime.

It is a super-2 number, since 2×406506133² = 330494472333227378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406506173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317691 + ... + 318967.

It is an arithmetic number, because the mean of its divisors is an integer number (28425276).

Almost surely, 2^406506133 is an apocalyptic number.

406506133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

406506133 is a deficient number, since it is larger than the sum of its proper divisors (48298283).

406506133 is a wasteful number, since it uses less digits than its factorization.

406506133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 406506133 is about 20161.9972472967. The cubic root of 406506133 is about 740.7796342491.

The spelling of 406506133 in words is "four hundred six million, five hundred six thousand, one hundred thirty-three".