406172416 has 108 divisors (see below), whose sum is σ = 909302016. Its totient is φ = 179988480.

The previous prime is 406172407. The next prime is 406172419. The reversal of 406172416 is 614271604.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406172419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3198145 + ... + 3198271.

Almost surely, 2^406172416 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 406172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454651008).

406172416 is an abundant number, since it is smaller than the sum of its proper divisors (503129600).

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

406172416 is a wasteful number, since it uses less digits than its factorization.

406172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 406172416 is about 20153.7196566788. The cubic root of 406172416 is about 740.5768669628.

The spelling of 406172416 in words is "four hundred six million, one hundred seventy-two thousand, four hundred sixteen".