20307456 has 160 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 6193152.

The previous prime is 20307439. The next prime is 20307457. The reversal of 20307456 is 65470302.

It is a happy number.

20307456 is a `hidden beast` number, since 203 + 0 + 7 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20307457) 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 15 ways as a sum of consecutive naturals, for example, 179656 + ... + 179768.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 2^20307456 is an apocalyptic number.

20307456 is a gapful number since it is divisible by the number (26) 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 20307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).

20307456 is an abundant number, since it is smaller than the sum of its proper divisors (45000864).

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

20307456 is a wasteful number, since it uses less digits than its factorization.

20307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20307456 is about 4506.3794780289. The cubic root of 20307456 is about 272.8256343389.

Adding to 20307456 its reverse (65470302), we get a palindrome (85777758).

The spelling of 20307456 in words is "twenty million, three hundred seven thousand, four hundred fifty-six".