488293380 has 192 divisors, whose sum is σ = 1647233280. Its totient is φ = 119605248.

The previous prime is 488293361. The next prime is 488293409. The reversal of 488293380 is 83392884.

488293380 is a `hidden beast` number, since 488 + 2 + 93 + 3 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394122 + ... + 395358.

It is an arithmetic number, because the mean of its divisors is an integer number (8579340).

Almost surely, 2^488293380 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 488293380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823616640).

488293380 is an abundant number, since it is smaller than the sum of its proper divisors (1158939900).

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

488293380 is a wasteful number, since it uses less digits than its factorization.

488293380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 488293380 is about 22097.3613809432. The cubic root of 488293380 is about 787.4571768097.

The spelling of 488293380 in words is "four hundred eighty-eight million, two hundred ninety-three thousand, three hundred eighty".