468484915200 has 768 divisors, whose sum is σ = 1664274432000. Its totient is φ = 115935805440.

The previous prime is 468484915193. The next prime is 468484915253. The reversal of 468484915200 is 2519484864.

It is a tau number, because it is divible by the number of its divisors (768).

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, 3688857537 + ... + 3688857663.

It is an arithmetic number, because the mean of its divisors is an integer number (2167024000).

Almost surely, 2^468484915200 is an apocalyptic number.

468484915200 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 468484915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832137216000).

468484915200 is an abundant number, since it is smaller than the sum of its proper divisors (1195789516800).

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

468484915200 is a wasteful number, since it uses less digits than its factorization.

468484915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 468484915200 in words is "four hundred sixty-eight billion, four hundred eighty-four million, nine hundred fifteen thousand, two hundred".