406212312 has 64 divisors (see below), whose sum is σ = 1121932800. Its totient is φ = 121530240.

The previous prime is 406212281. The next prime is 406212319. The reversal of 406212312 is 213212604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406212319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11118 + ... + 30594.

It is an arithmetic number, because the mean of its divisors is an integer number (17530200).

Almost surely, 2^406212312 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 406212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560966400).

406212312 is an abundant number, since it is smaller than the sum of its proper divisors (715720488).

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

406212312 is a wasteful number, since it uses less digits than its factorization.

406212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19576 (or 19572 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406212312 is about 20154.7094248466. The cubic root of 406212312 is about 740.6011137163.

Adding to 406212312 its reverse (213212604), we get a palindrome (619424916).

The spelling of 406212312 in words is "four hundred six million, two hundred twelve thousand, three hundred twelve".