406338144 has 96 divisors (see below), whose sum is σ = 1104687360. Its totient is φ = 130678272.

The previous prime is 406338143. The next prime is 406338187. The reversal of 406338144 is 441833604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×406338144² = 330221374538729472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406338143) 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 15 ways as a sum of consecutive naturals, for example, 493317 + ... + 494139.

It is an arithmetic number, because the mean of its divisors is an integer number (11507160).

Almost surely, 2^406338144 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 406338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552343680).

406338144 is an abundant number, since it is smaller than the sum of its proper divisors (698349216).

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

406338144 is a wasteful number, since it uses less digits than its factorization.

406338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 406338144 is about 20157.8308356827. The cubic root of 406338144 is about 740.6775775880.

The spelling of 406338144 in words is "four hundred six million, three hundred thirty-eight thousand, one hundred forty-four".