480752658432 has 576 divisors, whose sum is σ = 1502917416000. Its totient is φ = 151807426560.

The previous prime is 480752658307. The next prime is 480752658439. The reversal of 480752658432 is 234856257084.

480752658432 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 5 + 26 + 584 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×480752658432³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (480752658439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410574794 + ... + 4410574902.

It is an arithmetic number, because the mean of its divisors is an integer number (2609231625).

Almost surely, 2^480752658432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480752658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751458708000).

480752658432 is an abundant number, since it is smaller than the sum of its proper divisors (1022164757568).

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

480752658432 is a wasteful number, since it uses less digits than its factorization.

480752658432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 480752658432 in words is "four hundred eighty billion, seven hundred fifty-two million, six hundred fifty-eight thousand, four hundred thirty-two".