487577952 has 144 divisors (see below), whose sum is σ = 1496607840. Its totient is φ = 149999616.

The previous prime is 487577933. The next prime is 487577977. The reversal of 487577952 is 259775784.

It is a happy number.

487577952 is a `hidden beast` number, since 487 + 5 + 77 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258549 + ... + 260427.

It is an arithmetic number, because the mean of its divisors is an integer number (10393110).

Almost surely, 2^487577952 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 487577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748303920).

487577952 is an abundant number, since it is smaller than the sum of its proper divisors (1009029888).

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

487577952 is a wasteful number, since it uses less digits than its factorization.

487577952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 487577952 is about 22081.1673604454. The cubic root of 487577952 is about 787.0724052070.

The spelling of 487577952 in words is "four hundred eighty-seven million, five hundred seventy-seven thousand, nine hundred fifty-two".