481727064 has 288 divisors, whose sum is σ = 1606417920. Its totient is φ = 117801216.

The previous prime is 481727063. The next prime is 481727089. The reversal of 481727064 is 460727184.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481727063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10249489 + ... + 10249535.

It is an arithmetic number, because the mean of its divisors is an integer number (5577840).

Almost surely, 2^481727064 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 481727064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803208960).

481727064 is an abundant number, since it is smaller than the sum of its proper divisors (1124690856).

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

481727064 is a wasteful number, since it uses less digits than its factorization.

481727064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 481727064 is about 21948.2815728248. The cubic root of 481727064 is about 783.9114635200.

The spelling of 481727064 in words is "four hundred eighty-one million, seven hundred twenty-seven thousand, sixty-four".