468759239424 has 432 divisors, whose sum is σ = 1612669560320. Its totient is φ = 133025587200.

The previous prime is 468759239411. The next prime is 468759239491. The reversal of 468759239424 is 424932957864.

468759239424 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 592 + 39 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 65750292 + ... + 65757420.

Almost surely, 2^468759239424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468759239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806334780160).

468759239424 is an abundant number, since it is smaller than the sum of its proper divisors (1143910320896).

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

468759239424 is an equidigital number, since it uses as much as digits as its factorization.

468759239424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7292 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 468759239424 in words is "four hundred sixty-eight billion, seven hundred fifty-nine million, two hundred thirty-nine thousand, four hundred twenty-four".