1459920 has 160 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 299520.

The previous prime is 1459907. The next prime is 1459921. The reversal of 1459920 is 299541.

It is a happy number.

It is a super-3 number, since 3×1459920³ = 9334873332094464000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18441 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2^1459920 is an apocalyptic number.

1459920 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 1459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

1459920 is an abundant number, since it is smaller than the sum of its proper divisors (4254000).

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

1459920 is a wasteful number, since it uses less digits than its factorization.

1459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1459920 is about 1208.2714926704. The cubic root of 1459920 is about 113.4426473163.

The spelling of 1459920 in words is "one million, four hundred fifty-nine thousand, nine hundred twenty".