428800505 has 32 divisors (see below), whose sum is σ = 602947584. Its totient is φ = 286646976.

The previous prime is 428800501. The next prime is 428800507. The reversal of 428800505 is 505008824.

It is not a de Polignac number, because 428800505 - 2² = 428800501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428800501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761354 + ... + 761916.

It is an arithmetic number, because the mean of its divisors is an integer number (18842112).

Almost surely, 2^428800505 is an apocalyptic number.

It is an amenable number.

428800505 is a deficient number, since it is larger than the sum of its proper divisors (174147079).

428800505 is a wasteful number, since it uses less digits than its factorization.

428800505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 428800505 is about 20707.4987625256. The cubic root of 428800505 is about 754.0817484368.

The spelling of 428800505 in words is "four hundred twenty-eight million, eight hundred thousand, five hundred five".