1406445768 has 640 divisors, whose sum is σ = 5444651520. Its totient is φ = 328458240.

The previous prime is 1406445757. The next prime is 1406445809. The reversal of 1406445768 is 8675446041.

1406445768 is a `hidden beast` number, since 14 + 0 + 64 + 4 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23056458 + ... + 23056518.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^1406445768 is an apocalyptic number.

1406445768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406445768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722325760).

1406445768 is an abundant number, since it is smaller than the sum of its proper divisors (4038205752).

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

1406445768 is a wasteful number, since it uses less digits than its factorization.

1406445768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1406445768 is about 37502.6101491616. The cubic root of 1406445768 is about 1120.4031733022.

The spelling of 1406445768 in words is "one billion, four hundred six million, four hundred forty-five thousand, seven hundred sixty-eight".