406118144 has 72 divisors (see below), whose sum is σ = 841800960. Its totient is φ = 195406848.

The previous prime is 406118137. The next prime is 406118147. The reversal of 406118144 is 441811604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406118147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869399 + ... + 869865.

It is an arithmetic number, because the mean of its divisors is an integer number (11691680).

Almost surely, 2^406118144 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 406118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420900480).

406118144 is an abundant number, since it is smaller than the sum of its proper divisors (435682816).

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

406118144 is an equidigital number, since it uses as much as digits as its factorization.

406118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 406118144 is about 20152.3731604990. The cubic root of 406118144 is about 740.5438806607.

Adding to 406118144 its reverse (441811604), we get a palindrome (847929748).

The spelling of 406118144 in words is "four hundred six million, one hundred eighteen thousand, one hundred forty-four".