14525280 has 288 divisors, whose sum is σ = 62270208. Its totient is φ = 2995200.

The previous prime is 14525263. The next prime is 14525281. The reversal of 14525280 is 8252541.

It is a happy number.

14525280 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

14525280 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14525281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110815 + ... + 110945.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 2^14525280 is an apocalyptic number.

14525280 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 14525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

14525280 is an abundant number, since it is smaller than the sum of its proper divisors (47744928).

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

14525280 is a wasteful number, since it uses less digits than its factorization.

14525280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14525280 is about 3811.2045340023. The cubic root of 14525280 is about 243.9915790339.

It can be divided in two parts, 145 and 25280, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 14525280 in words is "fourteen million, five hundred twenty-five thousand, two hundred eighty".