487911600 has 450 divisors, whose sum is σ = 1963288404. Its totient is φ = 115084800.

The previous prime is 487911539. The next prime is 487911607. The reversal of 487911600 is 6119784.

487911600 is a `hidden beast` number, since 48 + 7 + 9 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (487911607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 13186782 + ... + 13186818.

Almost surely, 2^487911600 is an apocalyptic number.

487911600 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 487911600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981644202).

487911600 is an abundant number, since it is smaller than the sum of its proper divisors (1475376804).

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

487911600 is a wasteful number, since it uses less digits than its factorization.

487911600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 487911600 is about 22088.7211037670. The cubic root of 487911600 is about 787.2518946306.

The spelling of 487911600 in words is "four hundred eighty-seven million, nine hundred eleven thousand, six hundred".