1417120 has 48 divisors (see below), whose sum is σ = 3551688. Its totient is φ = 532480.

The previous prime is 1417093. The next prime is 1417123. The reversal of 1417120 is 217141.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 242064 = 1084^2 + 492^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1417094 and 1417103.

It is not an unprimeable number, because it can be changed into a prime (1417123) 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 7 ways as a sum of consecutive naturals, for example, 2460 + ... + 2980.

2^1417120 is an apocalyptic number.

1417120 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 1417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775844).

1417120 is an abundant number, since it is smaller than the sum of its proper divisors (2134568).

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

1417120 is a wasteful number, since it uses less digits than its factorization.

1417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1417120 is about 1190.4284942826. The cubic root of 1417120 is about 112.3230469164.

The spelling of 1417120 in words is "one million, four hundred seventeen thousand, one hundred twenty".