480290666976 has 72 divisors (see below), whose sum is σ = 1425210368400. Its totient is φ = 153136152576.

The previous prime is 480290666963. The next prime is 480290667001. The reversal of 480290666976 is 679666092084.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×480290666976⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

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, 36247201 + ... + 36260448.

It is an arithmetic number, because the mean of its divisors is an integer number (19794588450).

Almost surely, 2^480290666976 is an apocalyptic number.

480290666976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480290666976 is an abundant number, since it is smaller than the sum of its proper divisors (944919701424).

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

480290666976 is a wasteful number, since it uses less digits than its factorization.

480290666976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72507688 (or 72507677 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 480290666976 in words is "four hundred eighty billion, two hundred ninety million, six hundred sixty-six thousand, nine hundred seventy-six".