20405352 has 64 divisors (see below), whose sum is σ = 57182400. Its totient is φ = 6013440.

The previous prime is 20405351. The next prime is 20405353. The reversal of 20405352 is 25350402.

It is an interprime number because it is at equal distance from previous prime (20405351) and next prime (20405353).

It is not an unprimeable number, because it can be changed into a prime (20405351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8724 + ... + 10812.

It is an arithmetic number, because the mean of its divisors is an integer number (893475).

Almost surely, 2^20405352 is an apocalyptic number.

20405352 is a gapful number since it is divisible by the number (22) 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 20405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591200).

20405352 is an abundant number, since it is smaller than the sum of its proper divisors (36777048).

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

20405352 is a wasteful number, since it uses less digits than its factorization.

20405352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20405352 is about 4517.2283537585. The cubic root of 20405352 is about 273.2633345772.

Adding to 20405352 its reverse (25350402), we get a palindrome (45755754).

The spelling of 20405352 in words is "twenty million, four hundred five thousand, three hundred fifty-two".