488795580 has 480 divisors, whose sum is σ = 1976385600. Its totient is φ = 99574272.

The previous prime is 488795579. The next prime is 488795599. The reversal of 488795580 is 85597884.

488795580 is a `hidden beast` number, since 4 + 8 + 87 + 9 + 558 + 0 = 666.

It is a super-2 number, since 2×488795580² = 477842238055072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16855006 + ... + 16855034.

It is an arithmetic number, because the mean of its divisors is an integer number (4117470).

Almost surely, 2^488795580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488795580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988192800).

488795580 is an abundant number, since it is smaller than the sum of its proper divisors (1487590020).

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

488795580 is a wasteful number, since it uses less digits than its factorization.

488795580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 488795580 is about 22108.7218083724. The cubic root of 488795580 is about 787.7270456449.

The spelling of 488795580 in words is "four hundred eighty-eight million, seven hundred ninety-five thousand, five hundred eighty".