20438496 has 144 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 6110208.

The previous prime is 20438447. The next prime is 20438497. The reversal of 20438496 is 69483402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20438496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20438497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198381 + ... + 198483.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^20438496 is an apocalyptic number.

20438496 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 20438496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

20438496 is an abundant number, since it is smaller than the sum of its proper divisors (43954560).

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

20438496 is a wasteful number, since it uses less digits than its factorization.

20438496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20438496 is about 4520.8954865159. The cubic root of 20438496 is about 273.4112065776.

It can be divided in two parts, 204384 and 96, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 20438496 in words is "twenty million, four hundred thirty-eight thousand, four hundred ninety-six".