480758646654 has 160 divisors (see below), whose sum is σ = 1332197919360. Its totient is φ = 127400040000.

The previous prime is 480758646653. The next prime is 480758646703. The reversal of 480758646654 is 456646857084.

It is a happy number.

480758646654 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 586 + 46 + 6 + 5 + 4 = 666.

It is a super-3 number, since 3×480758646654³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480758646591 and 480758646600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480758646653) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105972 + ... + 986279.

It is an arithmetic number, because the mean of its divisors is an integer number (8326236996).

Almost surely, 2^480758646654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480758646654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666098959680).

480758646654 is an abundant number, since it is smaller than the sum of its proper divisors (851439272706).

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

480758646654 is a wasteful number, since it uses less digits than its factorization.

480758646654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092308 (or 1092299 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 480758646654 in words is "four hundred eighty billion, seven hundred fifty-eight million, six hundred forty-six thousand, six hundred fifty-four".