480681792 has 84 divisors (see below), whose sum is σ = 1388847616. Its totient is φ = 158941440.

The previous prime is 480681781. The next prime is 480681823. The reversal of 480681792 is 297186084.

480681792 is a `hidden beast` number, since 480 + 6 + 81 + 7 + 92 = 666.

It is a super-3 number, since 3×480681792³ (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 11 ways as a sum of consecutive naturals, for example, 69867 + ... + 76437.

Almost surely, 2^480681792 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 480681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694423808).

480681792 is an abundant number, since it is smaller than the sum of its proper divisors (908165824).

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

480681792 is a wasteful number, since it uses less digits than its factorization.

480681792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 480681792 is about 21924.4564812905. The cubic root of 480681792 is about 783.3440647189.

The spelling of 480681792 in words is "four hundred eighty million, six hundred eighty-one thousand, seven hundred ninety-two".