1414756448 has 72 divisors (see below), whose sum is σ = 3215990736. Its totient is φ = 600134400.

The previous prime is 1414756429. The next prime is 1414756463. The reversal of 1414756448 is 8446574141.

It is a junction number, because it is equal to n+sod(n) for n = 1414756399 and 1414756408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5107286 + ... + 5107562.

It is an arithmetic number, because the mean of its divisors is an integer number (44666538).

Almost surely, 2^1414756448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414756448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607995368).

1414756448 is an abundant number, since it is smaller than the sum of its proper divisors (1801234288).

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

1414756448 is an equidigital number, since it uses as much as digits as its factorization.

1414756448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 437 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 1414756448 is about 37613.2483042877. The cubic root of 1414756448 is about 1122.6056594704.

The spelling of 1414756448 in words is "one billion, four hundred fourteen million, seven hundred fifty-six thousand, four hundred forty-eight".