1406612256 has 192 divisors, whose sum is σ = 4551966720. Its totient is φ = 371312640.

The previous prime is 1406612231. The next prime is 1406612257. The reversal of 1406612256 is 6522166041.

It is not an unprimeable number, because it can be changed into a prime (1406612257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522145 + ... + 524831.

It is an arithmetic number, because the mean of its divisors is an integer number (23708160).

Almost surely, 2^1406612256 is an apocalyptic number.

1406612256 is a gapful number since it is divisible by the number (16) 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 1406612256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

1406612256 is an abundant number, since it is smaller than the sum of its proper divisors (3145354464).

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

1406612256 is a wasteful number, since it uses less digits than its factorization.

1406612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1406612256 is about 37504.8297689778. The cubic root of 1406612256 is about 1120.4473807950.

Adding to 1406612256 its reverse (6522166041), we get a palindrome (7928778297).

The spelling of 1406612256 in words is "one billion, four hundred six million, six hundred twelve thousand, two hundred fifty-six".