487609200 has 480 divisors, whose sum is σ = 1963207680. Its totient is φ = 114048000.

The previous prime is 487609163. The next prime is 487609201. The reversal of 487609200 is 2906784.

487609200 is a `hidden beast` number, since 48 + 7 + 609 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487609201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3229125 + ... + 3229275.

It is an arithmetic number, because the mean of its divisors is an integer number (4090016).

Almost surely, 2^487609200 is an apocalyptic number.

487609200 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 487609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981603840).

487609200 is an abundant number, since it is smaller than the sum of its proper divisors (1475598480).

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

487609200 is a wasteful number, since it uses less digits than its factorization.

487609200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 487609200 is about 22081.8749203957. The cubic root of 487609200 is about 787.0892188694.

The spelling of 487609200 in words is "four hundred eighty-seven million, six hundred nine thousand, two hundred".