480716544 has 216 divisors, whose sum is σ = 1609363840. Its totient is φ = 124692480.

The previous prime is 480716527. The next prime is 480716563. The reversal of 480716544 is 445617084.

It is a super-3 number, since 3×480716544³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650127 + ... + 650865.

Almost surely, 2^480716544 is an apocalyptic number.

480716544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804681920).

480716544 is an abundant number, since it is smaller than the sum of its proper divisors (1128647296).

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

480716544 is a wasteful number, since it uses less digits than its factorization.

480716544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 480716544 is about 21925.2490065677. The cubic root of 480716544 is about 783.3629421533.

It can be divided in two parts, 48071 and 6544, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 480716544 in words is "four hundred eighty million, seven hundred sixteen thousand, five hundred forty-four".