467832576 has 72 divisors (see below), whose sum is σ = 1251451264. Its totient is φ = 155151360.

The previous prime is 467832559. The next prime is 467832577. The reversal of 467832576 is 675238764.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467832577) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 160605 + ... + 163491.

Almost surely, 2^467832576 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 467832576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625725632).

467832576 is an abundant number, since it is smaller than the sum of its proper divisors (783618688).

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

467832576 is a wasteful number, since it uses less digits than its factorization.

467832576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3103 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 467832576 is about 21629.4377180730. The cubic root of 467832576 is about 776.3010133443.

The spelling of 467832576 in words is "four hundred sixty-seven million, eight hundred thirty-two thousand, five hundred seventy-six".