1406282112 has 192 divisors, whose sum is σ = 4353523200. Its totient is φ = 434322432.

The previous prime is 1406282107. The next prime is 1406282113. The reversal of 1406282112 is 2112826041.

1406282112 is a `hidden beast` number, since 1 + 4 + 0 + 628 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406282113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028053 + ... + 1029419.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 2^1406282112 is an apocalyptic number.

1406282112 is a gapful number since it is divisible by the number (12) 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 1406282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1406282112 is an abundant number, since it is smaller than the sum of its proper divisors (2947241088).

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

1406282112 is a wasteful number, since it uses less digits than its factorization.

1406282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1406282112 is about 37500.4281575557. The cubic root of 1406282112 is about 1120.3597143889.

The spelling of 1406282112 in words is "one billion, four hundred six million, two hundred eighty-two thousand, one hundred twelve".