487825920 has 240 divisors, whose sum is σ = 1746531072. Its totient is φ = 125706240.

The previous prime is 487825909. The next prime is 487825937. The reversal of 487825920 is 29528784.

487825920 is a `hidden beast` number, since 487 + 82 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 713899 + ... + 714581.

Almost surely, 2^487825920 is an apocalyptic number.

487825920 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 487825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873265536).

487825920 is an abundant number, since it is smaller than the sum of its proper divisors (1258705152).

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

487825920 is a wasteful number, since it uses less digits than its factorization.

487825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 487825920 is about 22086.7815672633. The cubic root of 487825920 is about 787.2058099908.

The spelling of 487825920 in words is "four hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred twenty".