487923840 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 119218176.

The previous prime is 487923823. The next prime is 487923853. The reversal of 487923840 is 48329784.

487923840 is a `hidden beast` number, since 487 + 92 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841857 + ... + 3841983.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^487923840 is an apocalyptic number.

487923840 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 487923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

487923840 is an abundant number, since it is smaller than the sum of its proper divisors (1345138560).

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

487923840 is a wasteful number, since it uses less digits than its factorization.

487923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 487923840 is about 22088.9981665081. The cubic root of 487923840 is about 787.2584777102.

The spelling of 487923840 in words is "four hundred eighty-seven million, nine hundred twenty-three thousand, eight hundred forty".