488097792 has 384 divisors, whose sum is σ = 1797868800. Its totient is φ = 127401984.

The previous prime is 488097781. The next prime is 488097793. The reversal of 488097792 is 297790884.

488097792 is a `hidden beast` number, since 488 + 0 + 9 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (488097793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5031888 + ... + 5031984.

It is an arithmetic number, because the mean of its divisors is an integer number (4681950).

Almost surely, 2^488097792 is an apocalyptic number.

488097792 is a gapful number since it is divisible by the number (42) 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 488097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898934400).

488097792 is an abundant number, since it is smaller than the sum of its proper divisors (1309771008).

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

488097792 is a wasteful number, since it uses less digits than its factorization.

488097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 488097792 is about 22092.9353414163. The cubic root of 488097792 is about 787.3520229894.

The spelling of 488097792 in words is "four hundred eighty-eight million, ninety-seven thousand, seven hundred ninety-two".