405644928 has 128 divisors (see below), whose sum is σ = 1211172480. Its totient is φ = 119353344.

The previous prime is 405644923. The next prime is 405644959. The reversal of 405644928 is 829446504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×405644928² = 329095615224250368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405644928.

It is not an unprimeable number, because it can be changed into a prime (405644923) 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, 113050 + ... + 116582.

It is an arithmetic number, because the mean of its divisors is an integer number (9462285).

Almost surely, 2^405644928 is an apocalyptic number.

405644928 is a gapful number since it is divisible by the number (48) 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 405644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

405644928 is an abundant number, since it is smaller than the sum of its proper divisors (805527552).

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

405644928 is a wasteful number, since it uses less digits than its factorization.

405644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 405644928 is about 20140.6287885955. The cubic root of 405644928 is about 740.2561372883.

It can be divided in two parts, 4056 and 44928, that added together give a palindrome (48984).

The spelling of 405644928 in words is "four hundred five million, six hundred forty-four thousand, nine hundred twenty-eight".