467381246489280 has 896 divisors, whose sum is σ = 1818325413888000. Its totient is φ = 112560832327680.

The previous prime is 467381246489221. The next prime is 467381246489323. The reversal of 467381246489280 is 82984642183764.

467381246489280 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 8 + 1 + 2 + 464 + 89 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 467381246489199 and 467381246489208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340274931 + ... + 341645709.

Almost surely, 2^{467381246489280} is an apocalyptic number.

467381246489280 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 467381246489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909162706944000).

467381246489280 is an abundant number, since it is smaller than the sum of its proper divisors (1350944167398720).

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

467381246489280 is a wasteful number, since it uses less digits than its factorization.

467381246489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370922 (or 1370906 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 467381246489280 in words is "four hundred sixty-seven trillion, three hundred eighty-one billion, two hundred forty-six million, four hundred eighty-nine thousand, two hundred eighty".