1459120 has 80 divisors (see below), whose sum is σ = 3874752. Its totient is φ = 506880.

The previous prime is 1459111. The next prime is 1459123. The reversal of 1459120 is 219541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1459091 and 1459100.

It is not an unprimeable number, because it can be changed into a prime (1459123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23890 + ... + 23950.

2^1459120 is an apocalyptic number.

1459120 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 1459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376).

1459120 is an abundant number, since it is smaller than the sum of its proper divisors (2415632).

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

1459120 is a wasteful number, since it uses less digits than its factorization.

1459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1459120 is about 1207.9403958805. The cubic root of 1459120 is about 113.4219222766.

The spelling of 1459120 in words is "one million, four hundred fifty-nine thousand, one hundred twenty".