467567232 has 192 divisors, whose sum is σ = 1416290400. Its totient is φ = 136407040.

The previous prime is 467567197. The next prime is 467567237. The reversal of 467567232 is 232765764.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×467567232³ (a number of 27 digits) contains 333 as substring.

Its product of digits (423360) is a multiple of the sum of its prime divisors (392).

It is not an unprimeable number, because it can be changed into a prime (467567237) 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 23 ways as a sum of consecutive naturals, for example, 1347283 + ... + 1347629.

Almost surely, 2^467567232 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 467567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708145200).

467567232 is an abundant number, since it is smaller than the sum of its proper divisors (948723168).

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

467567232 is a wasteful number, since it uses less digits than its factorization.

467567232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 392 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 467567232 is about 21623.3029854368. The cubic root of 467567232 is about 776.1542188266.

The spelling of 467567232 in words is "four hundred sixty-seven million, five hundred sixty-seven thousand, two hundred thirty-two".