480123319 has 8 divisors (see below), whose sum is σ = 533735552. Its totient is φ = 428893920.

The previous prime is 480123317. The next prime is 480123323. The reversal of 480123319 is 913321084.

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

It is not a de Polignac number, because 480123319 - 2¹ = 480123317 is a prime.

It is a super-2 number, since 2×480123319² = 461036802895151522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480123311) 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, 595284 + ... + 596089.

It is an arithmetic number, because the mean of its divisors is an integer number (66716944).

Almost surely, 2^480123319 is an apocalyptic number.

480123319 is a deficient number, since it is larger than the sum of its proper divisors (53612233).

480123319 is a wasteful number, since it uses less digits than its factorization.

480123319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191417.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 480123319 is about 21911.7164777203. The cubic root of 480123319 is about 783.0405749316.

The spelling of 480123319 in words is "four hundred eighty million, one hundred twenty-three thousand, three hundred nineteen".