488747520 has 200 divisors, whose sum is σ = 1751281884. Its totient is φ = 130277376.

The previous prime is 488747489. The next prime is 488747531. The reversal of 488747520 is 25747884.

488747520 is a `hidden beast` number, since 4 + 8 + 87 + 47 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 460359936 + 28387584 = 21456^2 + 5328^2 .

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 19 ways as a sum of consecutive naturals, for example, 206182 + ... + 208538.

Almost surely, 2^488747520 is an apocalyptic number.

488747520 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 488747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875640942).

488747520 is an abundant number, since it is smaller than the sum of its proper divisors (1262534364).

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

488747520 is an equidigital number, since it uses as much as digits as its factorization.

488747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 488747520 is about 22107.6348802851. The cubic root of 488747520 is about 787.7012274881.

The spelling of 488747520 in words is "four hundred eighty-eight million, seven hundred forty-seven thousand, five hundred twenty".