312406644 has 48 divisors (see below), whose sum is σ = 802549440. Its totient is φ = 93795840.

The previous prime is 312406621. The next prime is 312406649. The reversal of 312406644 is 446604213.

312406644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×312406644² = 195195822430685472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312406649) 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, 3532 + ... + 25244.

It is an arithmetic number, because the mean of its divisors is an integer number (16719780).

Almost surely, 2^312406644 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 312406644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401274720).

312406644 is an abundant number, since it is smaller than the sum of its proper divisors (490142796).

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

312406644 is a wasteful number, since it uses less digits than its factorization.

312406644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21840 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 312406644 is about 17675.0288260020. The cubic root of 312406644 is about 678.5368221729.

The spelling of 312406644 in words is "three hundred twelve million, four hundred six thousand, six hundred forty-four".