488799360 has 384 divisors, whose sum is σ = 2004912000. Its totient is φ = 111476736.

The previous prime is 488799359. The next prime is 488799373. The reversal of 488799360 is 63997884.

488799360 is a `hidden beast` number, since 488 + 79 + 93 + 6 + 0 = 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 a junction number, because it is equal to n+sod(n) for n = 488799297 and 488799306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088416 + ... + 1088864.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^488799360 is an apocalyptic number.

488799360 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 488799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456000).

488799360 is an abundant number, since it is smaller than the sum of its proper divisors (1516112640).

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

488799360 is an equidigital number, since it uses as much as digits as its factorization.

488799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 488799360 is about 22108.8072948316. The cubic root of 488799360 is about 787.7290762146.

The spelling of 488799360 in words is "four hundred eighty-eight million, seven hundred ninety-nine thousand, three hundred sixty".