481743360 has 480 divisors, whose sum is σ = 1991658240. Its totient is φ = 105283584.

The previous prime is 481743359. The next prime is 481743391. The reversal of 481743360 is 63347184.

481743360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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, 4677069 + ... + 4677171.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^481743360 is an apocalyptic number.

481743360 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 481743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995829120).

481743360 is an abundant number, since it is smaller than the sum of its proper divisors (1509914880).

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

481743360 is a wasteful number, since it uses less digits than its factorization.

481743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 481743360 is about 21948.6528060380. The cubic root of 481743360 is about 783.9203028802.

The spelling of 481743360 in words is "four hundred eighty-one million, seven hundred forty-three thousand, three hundred sixty".