487617600 has 336 divisors, whose sum is σ = 1723461120. Its totient is φ = 120422400.

The previous prime is 487617587. The next prime is 487617601. The reversal of 487617600 is 6716784.

It is not an unprimeable number, because it can be changed into a prime (487617601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4315144 + ... + 4315256.

Almost surely, 2^487617600 is an apocalyptic number.

487617600 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 487617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861730560).

487617600 is an abundant number, since it is smaller than the sum of its proper divisors (1235843520).

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

487617600 is a wasteful number, since it uses less digits than its factorization.

487617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 487617600 is about 22082.0651208169. The cubic root of 487617600 is about 787.0937385486.

The spelling of 487617600 in words is "four hundred eighty-seven million, six hundred seventeen thousand, six hundred".