20456000 has 56 divisors (see below), whose sum is σ = 50679096. Its totient is φ = 8179200.

The previous prime is 20455979. The next prime is 20456041. The reversal of 20456000 is 65402.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 19219456 = 1112^2 + 4384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20456000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6722 + ... + 9278.

Almost surely, 2^20456000 is an apocalyptic number.

20456000 is a gapful number since it is divisible by the number (20) 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 20456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25339548).

20456000 is an abundant number, since it is smaller than the sum of its proper divisors (30223096).

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

20456000 is an equidigital number, since it uses as much as digits as its factorization.

20456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20456000 is about 4522.8309718582. The cubic root of 20456000 is about 273.4892361969.

The spelling of 20456000 in words is "twenty million, four hundred fifty-six thousand".