481270416480 has 480 divisors, whose sum is σ = 2043295752960. Its totient is φ = 104214574080.

The previous prime is 481270416467. The next prime is 481270416509. The reversal of 481270416480 is 84614072184.

481270416480 is a `hidden beast` number, since 4 + 8 + 127 + 0 + 41 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1584075 + ... + 1863285.

It is an arithmetic number, because the mean of its divisors is an integer number (4256866152).

Almost surely, 2^481270416480 is an apocalyptic number.

481270416480 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 481270416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021647876480).

481270416480 is an abundant number, since it is smaller than the sum of its proper divisors (1562025336480).

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

481270416480 is a wasteful number, since it uses less digits than its factorization.

481270416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279264 (or 279247 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 481270416480 in words is "four hundred eighty-one billion, two hundred seventy million, four hundred sixteen thousand, four hundred eighty".