480981731724 has 192 divisors, whose sum is σ = 1421531865600. Its totient is φ = 139567567104.

The previous prime is 480981731707. The next prime is 480981731743. The reversal of 480981731724 is 427137189084.

480981731724 is a `hidden beast` number, since 480 + 9 + 81 + 73 + 17 + 2 + 4 = 666.

It is a super-3 number, since 3×480981731724³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1613427 + ... + 1888149.

It is an arithmetic number, because the mean of its divisors is an integer number (7403811800).

Almost surely, 2^480981731724 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 480981731724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710765932800).

480981731724 is an abundant number, since it is smaller than the sum of its proper divisors (940550133876).

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

480981731724 is a wasteful number, since it uses less digits than its factorization.

480981731724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274821 (or 274813 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 480981731724 in words is "four hundred eighty billion, nine hundred eighty-one million, seven hundred thirty-one thousand, seven hundred twenty-four".