481728167 has 8 divisors (see below), whose sum is σ = 512739072. Its totient is φ = 451014400.

The previous prime is 481728101. The next prime is 481728173. The reversal of 481728167 is 761827184.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 481728167 - 2²⁴ = 464950951 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 (481722167) 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 7 ways as a sum of consecutive naturals, for example, 70934 + ... + 77427.

It is an arithmetic number, because the mean of its divisors is an integer number (64092384).

Almost surely, 2^481728167 is an apocalyptic number.

481728167 is a deficient number, since it is larger than the sum of its proper divisors (31010905).

481728167 is a wasteful number, since it uses less digits than its factorization.

481728167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148569.

The product of its digits is 150528, while the sum is 44.

The square root of 481728167 is about 21948.3067000623. The cubic root of 481728167 is about 783.9120618212.

The spelling of 481728167 in words is "four hundred eighty-one million, seven hundred twenty-eight thousand, one hundred sixty-seven".