406312460 has 48 divisors (see below), whose sum is σ = 888505632. Its totient is φ = 155942400.

The previous prime is 406312453. The next prime is 406312463. The reversal of 406312460 is 64213604.

It is not an unprimeable number, because it can be changed into a prime (406312463) 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, 45959 + ... + 54081.

It is an arithmetic number, because the mean of its divisors is an integer number (18510534).

Almost surely, 2^406312460 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 406312460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444252816).

406312460 is an abundant number, since it is smaller than the sum of its proper divisors (482193172).

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

406312460 is a wasteful number, since it uses less digits than its factorization.

406312460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406312460 is about 20157.1937530997. The cubic root of 406312460 is about 740.6619715679.

The spelling of 406312460 in words is "four hundred six million, three hundred twelve thousand, four hundred sixty".