480214546000 has 80 divisors (see below), whose sum is σ = 1327038635520. Its totient is φ = 164644982400.

The previous prime is 480214545997. The next prime is 480214546001. The reversal of 480214546000 is 645412084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×480214546000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480214546001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17136520 + ... + 17164519.

It is an arithmetic number, because the mean of its divisors is an integer number (16587982944).

Almost surely, 2^480214546000 is an apocalyptic number.

480214546000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480214546000 is an abundant number, since it is smaller than the sum of its proper divisors (846824089520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480214546000 is a wasteful number, since it uses less digits than its factorization.

480214546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34301069 (or 34301053 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 480214546000 its reverse (645412084), we get a palindrome (480859958084).

The spelling of 480214546000 in words is "four hundred eighty billion, two hundred fourteen million, five hundred forty-six thousand".