481936244760 has 384 divisors, whose sum is σ = 1615737576960. Its totient is φ = 124540416000.

The previous prime is 481936244719. The next prime is 481936244789. The reversal of 481936244760 is 67442639184.

481936244760 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 3 + 624 + 4 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 481936244697 and 481936244706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411558975 + ... + 411560145.

It is an arithmetic number, because the mean of its divisors is an integer number (4207649940).

Almost surely, 2^481936244760 is an apocalyptic number.

481936244760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481936244760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807868788480).

481936244760 is an abundant number, since it is smaller than the sum of its proper divisors (1133801332200).

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

481936244760 is a wasteful number, since it uses less digits than its factorization.

481936244760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 481936244760 in words is "four hundred eighty-one billion, nine hundred thirty-six million, two hundred forty-four thousand, seven hundred sixty".