406606272 has 112 divisors (see below), whose sum is σ = 1145560320. Its totient is φ = 126840832.

The previous prime is 406606267. The next prime is 406606331. The reversal of 406606272 is 272606604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132429 + ... + 1132787.

Almost surely, 2^406606272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572780160).

406606272 is an abundant number, since it is smaller than the sum of its proper divisors (738954048).

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

406606272 is a wasteful number, since it uses less digits than its factorization.

406606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 406606272 is about 20164.4804545022. The cubic root of 406606272 is about 740.8404573096.

The spelling of 406606272 in words is "four hundred six million, six hundred six thousand, two hundred seventy-two".