481347410760 has 512 divisors, whose sum is σ = 1685667110400. Its totient is φ = 122052096000.

The previous prime is 481347410729. The next prime is 481347410767. The reversal of 481347410760 is 67014743184.

481347410760 is a `hidden beast` number, since 4 + 8 + 13 + 474 + 107 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (481347410767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441197815 + ... + 441198905.

It is an arithmetic number, because the mean of its divisors is an integer number (3292318575).

Almost surely, 2^481347410760 is an apocalyptic number.

481347410760 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 481347410760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842833555200).

481347410760 is an abundant number, since it is smaller than the sum of its proper divisors (1204319699640).

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

481347410760 is a wasteful number, since it uses less digits than its factorization.

481347410760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 481347410760 in words is "four hundred eighty-one billion, three hundred forty-seven million, four hundred ten thousand, seven hundred sixty".