456872405 has 30 divisors (see below), whose sum is σ = 610798230. Its totient is φ = 328064880.

The previous prime is 456872401. The next prime is 456872419. The reversal of 456872405 is 504278654.

It can be written as a sum of positive squares in only one way, i.e., 365497924 + 91374481 = 19118^2 + 9559^2 .

It is not a de Polignac number, because 456872405 - 2² = 456872401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456872401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5783156 + ... + 5783234.

It is an arithmetic number, because the mean of its divisors is an integer number (20359941).

Almost surely, 2^456872405 is an apocalyptic number.

It is an amenable number.

456872405 is a deficient number, since it is larger than the sum of its proper divisors (153925825).

456872405 is an frugal number, since it uses more digits than its factorization.

456872405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 456872405 is about 21374.5737969205. The cubic root of 456872405 is about 770.1907690592.

The spelling of 456872405 in words is "four hundred fifty-six million, eight hundred seventy-two thousand, four hundred five".