488352312000 has 672 divisors, whose sum is σ = 2045258377344. Its totient is φ = 108896256000.

The previous prime is 488352311983. The next prime is 488352312023. The reversal of 488352312000 is 213253884.

488352312000 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 523 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20652184 + ... + 20675816.

It is an arithmetic number, because the mean of its divisors is an integer number (3043539252).

Almost surely, 2^488352312000 is an apocalyptic number.

488352312000 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 488352312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022629188672).

488352312000 is an abundant number, since it is smaller than the sum of its proper divisors (1556906065344).

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

488352312000 is a wasteful number, since it uses less digits than its factorization.

488352312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23714 (or 23691 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 488352312000 its reverse (213253884), we get a palindrome (488565565884).

The spelling of 488352312000 in words is "four hundred eighty-eight billion, three hundred fifty-two million, three hundred twelve thousand".