456121855 has 32 divisors (see below), whose sum is σ = 667966464. Its totient is φ = 292190976.

The previous prime is 456121837. The next prime is 456121859. The reversal of 456121855 is 558121654.

It is not a de Polignac number, because 456121855 - 2⁵ = 456121823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456121859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28027 + ... + 41203.

It is an arithmetic number, because the mean of its divisors is an integer number (20873952).

Almost surely, 2^456121855 is an apocalyptic number.

456121855 is a deficient number, since it is larger than the sum of its proper divisors (211844609).

456121855 is a wasteful number, since it uses less digits than its factorization.

456121855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255.

The product of its digits is 48000, while the sum is 37.

The square root of 456121855 is about 21357.0095050782. The cubic root of 456121855 is about 769.7687814219.

It can be divided in two parts, 456121 and 855, that added together give a 4-th power (456976 = 26⁴).

The spelling of 456121855 in words is "four hundred fifty-six million, one hundred twenty-one thousand, eight hundred fifty-five".