488763360 has 144 divisors (see below), whose sum is σ = 1721865600. Its totient is φ = 126120960.

The previous prime is 488763299. The next prime is 488763367. The reversal of 488763360 is 63367884.

488763360 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488763367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39166 + ... + 50114.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^488763360 is an apocalyptic number.

488763360 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 488763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860932800).

488763360 is an abundant number, since it is smaller than the sum of its proper divisors (1233102240).

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

488763360 is a wasteful number, since it uses less digits than its factorization.

488763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 488763360 is about 22107.9931246597. The cubic root of 488763360 is about 787.7097370301.

The spelling of 488763360 in words is "four hundred eighty-eight million, seven hundred sixty-three thousand, three hundred sixty".