481090484160 has 1344 divisors, whose sum is σ = 2069475932160. Its totient is φ = 103719813120.

The previous prime is 481090484153. The next prime is 481090484227. The reversal of 481090484160 is 61484090184.

481090484160 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 9 + 0 + 484 + 160 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1039072089 + ... + 1039072551.

It is an arithmetic number, because the mean of its divisors is an integer number (1539788640).

Almost surely, 2^481090484160 is an apocalyptic number.

481090484160 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 481090484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034737966080).

481090484160 is an abundant number, since it is smaller than the sum of its proper divisors (1588385448000).

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

481090484160 is a wasteful number, since it uses less digits than its factorization.

481090484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 481090484160 in words is "four hundred eighty-one billion, ninety million, four hundred eighty-four thousand, one hundred sixty".