480651024100 has 81 divisors (see below), whose sum is σ = 1129627961553. Its totient is φ = 177437869440.

The previous prime is 480651024083. The next prime is 480651024121. The reversal of 480651024100 is 1420156084.

The square root of 480651024100 is 693290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 147574295716 + 333076728384 = 384154^2 + 577128^2 .

It is a super-3 number, since 3×480651024100³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90125034 + ... + 90130366.

Almost surely, 2^480651024100 is an apocalyptic number.

480651024100 is the 693290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480651024100

480651024100 is an abundant number, since it is smaller than the sum of its proper divisors (648976937453).

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

480651024100 is an equidigital number, since it uses as much as digits as its factorization.

480651024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 480651024100 in words is "four hundred eighty billion, six hundred fifty-one million, twenty-four thousand, one hundred".