481391064 has 192 divisors, whose sum is σ = 1678510080. Its totient is φ = 120960000.

The previous prime is 481391059. The next prime is 481391093. The reversal of 481391064 is 460193184.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170464 + ... + 173264.

It is an arithmetic number, because the mean of its divisors is an integer number (8742240).

Almost surely, 2^481391064 is an apocalyptic number.

481391064 is a gapful number since it is divisible by the number (44) 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 481391064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839255040).

481391064 is an abundant number, since it is smaller than the sum of its proper divisors (1197119016).

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

481391064 is a wasteful number, since it uses less digits than its factorization.

481391064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 481391064 is about 21940.6258798604. The cubic root of 481391064 is about 783.7291642241.

The spelling of 481391064 in words is "four hundred eighty-one million, three hundred ninety-one thousand, sixty-four".