14429520 has 180 divisors, whose sum is σ = 56508660. Its totient is φ = 3290112.

The previous prime is 14429497. The next prime is 14429521. The reversal of 14429520 is 2592441.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 4769856 = 3108^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×14429520² = 416422094860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14429521) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 35076 + ... + 35484.

It is an arithmetic number, because the mean of its divisors is an integer number (313937).

Almost surely, 2^14429520 is an apocalyptic number.

14429520 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 14429520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254330).

14429520 is an abundant number, since it is smaller than the sum of its proper divisors (42079140).

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

14429520 is a wasteful number, since it uses less digits than its factorization.

14429520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14429520 is about 3798.6208023439. The cubic root of 14429520 is about 243.4542132047.

The spelling of 14429520 in words is "fourteen million, four hundred twenty-nine thousand, five hundred twenty".