480692951928 has 384 divisors, whose sum is σ = 1604453760000. Its totient is φ = 131917040640.

The previous prime is 480692951923. The next prime is 480692951989. The reversal of 480692951928 is 829159296084.

480692951928 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 92 + 9 + 519 + 28 = 666.

It is a super-3 number, since 3×480692951928³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480692951923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78528708 + ... + 78534828.

It is an arithmetic number, because the mean of its divisors is an integer number (4178265000).

Almost surely, 2^480692951928 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 480692951928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802226880000).

480692951928 is an abundant number, since it is smaller than the sum of its proper divisors (1123760808072).

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

480692951928 is a wasteful number, since it uses less digits than its factorization.

480692951928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 480692951928 in words is "four hundred eighty billion, six hundred ninety-two million, nine hundred fifty-one thousand, nine hundred twenty-eight".