468433236960 has 576 divisors, whose sum is σ = 1787732856000. Its totient is φ = 110900772864.

The previous prime is 468433236871. The next prime is 468433236991. The reversal of 468433236960 is 69632334864.

468433236960 is a `hidden beast` number, since 468 + 43 + 3 + 23 + 69 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 468433236897 and 468433236906.

It is a congruent number.

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, 153633516 + ... + 153636564.

It is an arithmetic number, because the mean of its divisors is an integer number (3103702875).

Almost surely, 2^468433236960 is an apocalyptic number.

468433236960 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 468433236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893866428000).

468433236960 is an abundant number, since it is smaller than the sum of its proper divisors (1319299619040).

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

468433236960 is a wasteful number, since it uses less digits than its factorization.

468433236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 468433236960 in words is "four hundred sixty-eight billion, four hundred thirty-three million, two hundred thirty-six thousand, nine hundred sixty".