480142719 has 24 divisors (see below), whose sum is σ = 808797600. Its totient is φ = 274365504.

The previous prime is 480142709. The next prime is 480142721. The reversal of 480142719 is 917241084.

It is not a de Polignac number, because 480142719 - 2⁹ = 480142207 is a prime.

It is a super-2 number, since 2×480142719² = 461074061217425922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480142709) 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 23 ways as a sum of consecutive naturals, for example, 74682 + ... + 80855.

It is an arithmetic number, because the mean of its divisors is an integer number (33699900).

Almost surely, 2^480142719 is an apocalyptic number.

480142719 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

480142719 is a deficient number, since it is larger than the sum of its proper divisors (328654881).

480142719 is a wasteful number, since it uses less digits than its factorization.

480142719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155564 (or 155547 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 480142719 is about 21912.1591587867. The cubic root of 480142719 is about 783.0511213766.

The spelling of 480142719 in words is "four hundred eighty million, one hundred forty-two thousand, seven hundred nineteen".