20306400 has 72 divisors (see below), whose sum is σ = 66105144. Its totient is φ = 5414400.

The previous prime is 20306399. The next prime is 20306413. The reversal of 20306400 is 460302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20306400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (918127).

Almost surely, 2^20306400 is an apocalyptic number.

20306400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20306400 is an abundant number, since it is smaller than the sum of its proper divisors (45798744).

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

20306400 is a wasteful number, since it uses less digits than its factorization.

20306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20306400 is about 4506.2623092758. The cubic root of 20306400 is about 272.8209052242.

Adding to 20306400 its reverse (460302), we get a palindrome (20766702).

It can be divided in two parts, 20306 and 400, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 20306400 in words is "twenty million, three hundred six thousand, four hundred".