487384128 has 504 divisors, whose sum is σ = 1869090496. Its totient is φ = 123171840.

The previous prime is 487384127. The next prime is 487384129. The reversal of 487384128 is 821483784.

It is an interprime number because it is at equal distance from previous prime (487384127) and next prime (487384129).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487384123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13172526 + ... + 13172562.

Almost surely, 2^487384128 is an apocalyptic number.

487384128 is a gapful number since it is divisible by the number (48) 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 487384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934545248).

487384128 is an abundant number, since it is smaller than the sum of its proper divisors (1381706368).

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

487384128 is a wasteful number, since it uses less digits than its factorization.

487384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 487384128 is about 22076.7780257899. The cubic root of 487384128 is about 786.9680979605.

The spelling of 487384128 in words is "four hundred eighty-seven million, three hundred eighty-four thousand, one hundred twenty-eight".