406131616 has 48 divisors (see below), whose sum is σ = 882832608. Its totient is φ = 182368000.

The previous prime is 406131611. The next prime is 406131619. The reversal of 406131616 is 616131604.

It is not an unprimeable number, because it can be changed into a prime (406131611) 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 7 ways as a sum of consecutive naturals, for example, 22266 + ... + 36166.

It is an arithmetic number, because the mean of its divisors is an integer number (18392346).

Almost surely, 2^406131616 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 406131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441416304).

406131616 is an abundant number, since it is smaller than the sum of its proper divisors (476700992).

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

406131616 is a wasteful number, since it uses less digits than its factorization.

406131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 406131616 is about 20152.7074111644. The cubic root of 406131616 is about 740.5520691620.

The spelling of 406131616 in words is "four hundred six million, one hundred thirty-one thousand, six hundred sixteen".