1406614460 has 96 divisors (see below), whose sum is σ = 3245383680. Its totient is φ = 510105600.

The previous prime is 1406614411. The next prime is 1406614471. The reversal of 1406614460 is 644166041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142045 + ... + 1143275.

It is an arithmetic number, because the mean of its divisors is an integer number (33806080).

Almost surely, 2^1406614460 is an apocalyptic number.

1406614460 is a gapful number since it is divisible by the number (10) 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 1406614460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622691840).

1406614460 is an abundant number, since it is smaller than the sum of its proper divisors (1838769220).

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

1406614460 is a wasteful number, since it uses less digits than its factorization.

1406614460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1406614460 is about 37504.8591518486. The cubic root of 1406614460 is about 1120.4479659989.

The spelling of 1406614460 in words is "one billion, four hundred six million, six hundred fourteen thousand, four hundred sixty".