481728060 has 144 divisors (see below), whose sum is σ = 1653305472. Its totient is φ = 116769600.

The previous prime is 481728029. The next prime is 481728101. The reversal of 481728060 is 60827184.

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, 48955 + ... + 57965.

It is an arithmetic number, because the mean of its divisors is an integer number (11481288).

Almost surely, 2^481728060 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 481728060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826652736).

481728060 is an abundant number, since it is smaller than the sum of its proper divisors (1171577412).

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

481728060 is a wasteful number, since it uses less digits than its factorization.

481728060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 481728060 is about 21948.3042625165. The cubic root of 481728060 is about 783.9120037812.

The spelling of 481728060 in words is "four hundred eighty-one million, seven hundred twenty-eight thousand, sixty".