467033568 has 96 divisors (see below), whose sum is σ = 1255982112. Its totient is φ = 151910400.

The previous prime is 467033549. The next prime is 467033597. The reversal of 467033568 is 865330764.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012858 + ... + 1013318.

It is an arithmetic number, because the mean of its divisors is an integer number (13083147).

Almost surely, 2^467033568 is an apocalyptic number.

467033568 is a gapful number since it is divisible by the number (48) 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 467033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627991056).

467033568 is an abundant number, since it is smaller than the sum of its proper divisors (788948544).

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

467033568 is a wasteful number, since it uses less digits than its factorization.

467033568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 467033568 is about 21610.9594419128. The cubic root of 467033568 is about 775.8588151406.

The spelling of 467033568 in words is "four hundred sixty-seven million, thirty-three thousand, five hundred sixty-eight".