467809056 has 288 divisors, whose sum is σ = 1610376768. Its totient is φ = 126904320.

The previous prime is 467809037. The next prime is 467809099. The reversal of 467809056 is 650908764.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×467809056² = 437690625751222272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523655 + ... + 1523961.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2^467809056 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 467809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805188384).

467809056 is an abundant number, since it is smaller than the sum of its proper divisors (1142567712).

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

467809056 is a wasteful number, since it uses less digits than its factorization.

467809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 467809056 is about 21628.8940077850. The cubic root of 467809056 is about 776.2880037716.

The spelling of 467809056 in words is "four hundred sixty-seven million, eight hundred nine thousand, fifty-six".