481774176 has 192 divisors, whose sum is σ = 1541030400. Its totient is φ = 145525248.

The previous prime is 481774159. The next prime is 481774211. The reversal of 481774176 is 671477184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662325 + ... + 663051.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2^481774176 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 481774176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

481774176 is an abundant number, since it is smaller than the sum of its proper divisors (1059256224).

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

481774176 is a wasteful number, since it uses less digits than its factorization.

481774176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 481774176 is about 21949.3547968955. The cubic root of 481774176 is about 783.9370177088.

It can be divided in two parts, 48 and 1774176, that added together give a square (1774224 = 1332²).

The spelling of 481774176 in words is "four hundred eighty-one million, seven hundred seventy-four thousand, one hundred seventy-six".