487057120 has 192 divisors, whose sum is σ = 1323786240. Its totient is φ = 167731200.

The previous prime is 487057097. The next prime is 487057139. The reversal of 487057120 is 21750784.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310184 + ... + 4310296.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^487057120 is an apocalyptic number.

487057120 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 487057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

487057120 is an abundant number, since it is smaller than the sum of its proper divisors (836729120).

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

487057120 is a wasteful number, since it uses less digits than its factorization.

487057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 487057120 is about 22069.3706299024. The cubic root of 487057120 is about 786.7920544490.

The spelling of 487057120 in words is "four hundred eighty-seven million, fifty-seven thousand, one hundred twenty".