487296000 has 440 divisors, whose sum is σ = 1854680256. Its totient is φ = 127180800.

The previous prime is 487295969. The next prime is 487296001. The reversal of 487296000 is 692784.

487296000 is a `hidden beast` number, since 48 + 7 + 2 + 9 + 600 + 0 = 666.

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 (487296001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367977 + ... + 10368023.

Almost surely, 2^487296000 is an apocalyptic number.

487296000 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 487296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927340128).

487296000 is an abundant number, since it is smaller than the sum of its proper divisors (1367384256).

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

487296000 is an equidigital number, since it uses as much as digits as its factorization.

487296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

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

The square root of 487296000 is about 22074.7819921285. The cubic root of 487296000 is about 786.9206623404.

The spelling of 487296000 in words is "four hundred eighty-seven million, two hundred ninety-six thousand".