468857825280 has 384 divisors, whose sum is σ = 1794860121600. Its totient is φ = 115410272256.

The previous prime is 468857825273. The next prime is 468857825281. The reversal of 468857825280 is 82528758864.

468857825280 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 578 + 2 + 52 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (468857825281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3529017 + ... + 3659463.

It is an arithmetic number, because the mean of its divisors is an integer number (4674114900).

Almost surely, 2^468857825280 is an apocalyptic number.

468857825280 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 468857825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897430060800).

468857825280 is an abundant number, since it is smaller than the sum of its proper divisors (1326002296320).

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

468857825280 is a wasteful number, since it uses less digits than its factorization.

468857825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130496 (or 130470 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 468857825280 in words is "four hundred sixty-eight billion, eight hundred fifty-seven million, eight hundred twenty-five thousand, two hundred eighty".