1406314464 has 24 divisors (see below), whose sum is σ = 3691575720. Its totient is φ = 468771456.

The previous prime is 1406314451. The next prime is 1406314529. The reversal of 1406314464 is 4644136041.

1406314464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7324459 + ... + 7324650.

It is an arithmetic number, because the mean of its divisors is an integer number (153815655).

Almost surely, 2^1406314464 is an apocalyptic number.

It is an amenable number.

1406314464 is an abundant number, since it is smaller than the sum of its proper divisors (2285261256).

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

1406314464 is a wasteful number, since it uses less digits than its factorization.

1406314464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14649122 (or 14649114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1406314464 is about 37500.8595101499. The cubic root of 1406314464 is about 1120.3683057422.

The spelling of 1406314464 in words is "one billion, four hundred six million, three hundred fourteen thousand, four hundred sixty-four".