406185472 has 80 divisors (see below), whose sum is σ = 1011935232. Its totient is φ = 158238720.

The previous prime is 406185457. The next prime is 406185487. The reversal of 406185472 is 274581604.

It is an interprime number because it is at equal distance from previous prime (406185457) and next prime (406185487).

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 7 ways as a sum of consecutive naturals, for example, 34273 + ... + 44575.

Almost surely, 2^406185472 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 406185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505967616).

406185472 is an abundant number, since it is smaller than the sum of its proper divisors (605749760).

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

406185472 is a wasteful number, since it uses less digits than its factorization.

406185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 406185472 is about 20154.0435645059. The cubic root of 406185472 is about 740.5848019083.

The spelling of 406185472 in words is "four hundred six million, one hundred eighty-five thousand, four hundred seventy-two".