1456420 has 48 divisors (see below), whose sum is σ = 3564288. Its totient is φ = 489600.

The previous prime is 1456417. The next prime is 1456439. The reversal of 1456420 is 246541.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1456391 and 1456400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14089 + ... + 14191.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

2^1456420 is an apocalyptic number.

1456420 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 1456420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144).

1456420 is an abundant number, since it is smaller than the sum of its proper divisors (2107868).

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

1456420 is a wasteful number, since it uses less digits than its factorization.

1456420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1456420 is about 1206.8222735764. The cubic root of 1456420 is about 113.3519192894.

The spelling of 1456420 in words is "one million, four hundred fifty-six thousand, four hundred twenty".