1406407312 has 40 divisors (see below), whose sum is σ = 2848567680. Its totient is φ = 671404800.

The previous prime is 1406407307. The next prime is 1406407313. The reversal of 1406407312 is 2137046041.

It is not an unprimeable number, because it can be changed into a prime (1406407313) 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, 217989 + ... + 224347.

It is an arithmetic number, because the mean of its divisors is an integer number (71214192).

Almost surely, 2^1406407312 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 1406407312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424283840).

1406407312 is an abundant number, since it is smaller than the sum of its proper divisors (1442160368).

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

1406407312 is a wasteful number, since it uses less digits than its factorization.

1406407312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1406407312 is about 37502.0974346769. The cubic root of 1406407312 is about 1120.3929615997.

The spelling of 1406407312 in words is "one billion, four hundred six million, four hundred seven thousand, three hundred twelve".