480667140 has 36 divisors (see below), whose sum is σ = 1458024204. Its totient is φ = 128177856.

The previous prime is 480667127. The next prime is 480667151. The reversal of 480667140 is 41766084.

It can be written as a sum of positive squares in 2 ways, for example, as 48692484 + 431974656 = 6978^2 + 20784^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×480667140³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480667095 and 480667104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335007 + ... + 1335366.

Almost surely, 2^480667140 is an apocalyptic number.

It is an amenable number.

480667140 is an abundant number, since it is smaller than the sum of its proper divisors (977357064).

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

480667140 is a wasteful number, since it uses less digits than its factorization.

480667140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670388 (or 2670383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480667140 is about 21924.1223313500. The cubic root of 480667140 is about 783.3361054175.

The spelling of 480667140 in words is "four hundred eighty million, six hundred sixty-seven thousand, one hundred forty".