1407406312 has 24 divisors (see below), whose sum is σ = 2857495590. Its totient is φ = 649571520.

The previous prime is 1407406309. The next prime is 1407406321. The reversal of 1407406312 is 2136047041.

It can be written as a sum of positive squares in 3 ways, for example, as 886014756 + 521391556 = 29766^2 + 22834^2 .

It is a super-3 number, since 3×1407406312³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 519139 + ... + 521842.

Almost surely, 2^1407406312 is an apocalyptic number.

It is an amenable number.

1407406312 is an abundant number, since it is smaller than the sum of its proper divisors (1450089278).

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

1407406312 is a wasteful number, since it uses less digits than its factorization.

1407406312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041013 (or 1040996 counting only the distinct ones).

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

The square root of 1407406312 is about 37515.4143253143. The cubic root of 1407406312 is about 1120.6581781909.

The spelling of 1407406312 in words is "one billion, four hundred seven million, four hundred six thousand, three hundred twelve".