481719312 has 120 divisors (see below), whose sum is σ = 1471884960. Its totient is φ = 152098560.

The previous prime is 481719311. The next prime is 481719313. The reversal of 481719312 is 213917184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481719311) and next prime (481719313).

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

It is not an unprimeable number, because it can be changed into a prime (481719311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70612 + ... + 77132.

It is an arithmetic number, because the mean of its divisors is an integer number (12265708).

Almost surely, 2^481719312 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 481719312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735942480).

481719312 is an abundant number, since it is smaller than the sum of its proper divisors (990165648).

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

481719312 is a wasteful number, since it uses less digits than its factorization.

481719312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6545 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 481719312 is about 21948.1049751453. The cubic root of 481719312 is about 783.9072585703.

The spelling of 481719312 in words is "four hundred eighty-one million, seven hundred nineteen thousand, three hundred twelve".