14457120 has 48 divisors (see below), whose sum is σ = 45541440. Its totient is φ = 3855104.

The previous prime is 14457077. The next prime is 14457137. The reversal of 14457120 is 2175441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14580 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (948780).

Almost surely, 2^14457120 is an apocalyptic number.

14457120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14457120 is an abundant number, since it is smaller than the sum of its proper divisors (31084320).

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

14457120 is a wasteful number, since it uses less digits than its factorization.

14457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30137 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 14457120 is about 3802.2519642969. The cubic root of 14457120 is about 243.6093363297.

The spelling of 14457120 in words is "fourteen million, four hundred fifty-seven thousand, one hundred twenty".