488493180 has 288 divisors, whose sum is σ = 1787595264. Its totient is φ = 109672704.

The previous prime is 488493179. The next prime is 488493193. The reversal of 488493180 is 81394884.

488493180 is a `hidden beast` number, since 4 + 88 + 493 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823574 + ... + 2823746.

It is an arithmetic number, because the mean of its divisors is an integer number (6206928).

Almost surely, 2^488493180 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 488493180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893797632).

488493180 is an abundant number, since it is smaller than the sum of its proper divisors (1299102084).

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

488493180 is a wasteful number, since it uses less digits than its factorization.

488493180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 488493180 is about 22101.8818203338. The cubic root of 488493180 is about 787.5645661347.

The spelling of 488493180 in words is "four hundred eighty-eight million, four hundred ninety-three thousand, one hundred eighty".