487365120 has 320 divisors, whose sum is σ = 1891486080. Its totient is φ = 117964800.

The previous prime is 487365119. The next prime is 487365187. The reversal of 487365120 is 21563784.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×487365120² = 475049520385228800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 760000 + ... + 760640.

It is an arithmetic number, because the mean of its divisors is an integer number (5910894).

Almost surely, 2^487365120 is an apocalyptic number.

487365120 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 487365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945743040).

487365120 is an abundant number, since it is smaller than the sum of its proper divisors (1404120960).

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

487365120 is a wasteful number, since it uses less digits than its factorization.

487365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 487365120 is about 22076.3475239905. The cubic root of 487365120 is about 786.9578672320.

The spelling of 487365120 in words is "four hundred eighty-seven million, three hundred sixty-five thousand, one hundred twenty".