1414467072 has 120 divisors (see below), whose sum is σ = 4116093696. Its totient is φ = 467582976.

The previous prime is 1414467059. The next prime is 1414467097. The reversal of 1414467072 is 2707644141.

It is a happy number.

1414467072 is a `hidden beast` number, since 141 + 446 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584008 + ... + 586424.

Almost surely, 2^1414467072 is an apocalyptic number.

1414467072 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 1414467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058046848).

1414467072 is an abundant number, since it is smaller than the sum of its proper divisors (2701626624).

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

1414467072 is a wasteful number, since it uses less digits than its factorization.

1414467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1414467072 is about 37609.4013778470. The cubic root of 1414467072 is about 1122.5291145435.

The spelling of 1414467072 in words is "one billion, four hundred fourteen million, four hundred sixty-seven thousand, seventy-two".