1446406312 has 64 divisors (see below), whose sum is σ = 3103531200. Its totient is φ = 626434560.

The previous prime is 1446406271. The next prime is 1446406327. The reversal of 1446406312 is 2136046441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208012 + ... + 214852.

It is an arithmetic number, because the mean of its divisors is an integer number (48492675).

Almost surely, 2^1446406312 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 1446406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551765600).

1446406312 is an abundant number, since it is smaller than the sum of its proper divisors (1657124888).

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

1446406312 is a wasteful number, since it uses less digits than its factorization.

1446406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1446406312 is about 38031.6488204232. The cubic root of 1446406312 is about 1130.9153603270.

The spelling of 1446406312 in words is "one billion, four hundred forty-six million, four hundred six thousand, three hundred twelve".