467888952 has 64 divisors (see below), whose sum is σ = 1210521600. Its totient is φ = 150549120.

The previous prime is 467888951. The next prime is 467888957. The reversal of 467888952 is 259888764.

It is a junction number, because it is equal to n+sod(n) for n = 467888892 and 467888901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467888951) by changing a digit.

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, 527053 + ... + 527939.

It is an arithmetic number, because the mean of its divisors is an integer number (18914400).

Almost surely, 2^467888952 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 467888952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605260800).

467888952 is an abundant number, since it is smaller than the sum of its proper divisors (742632648).

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

467888952 is a wasteful number, since it uses less digits than its factorization.

467888952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1632 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 467888952 is about 21630.7409027060. The cubic root of 467888952 is about 776.3321947187.

The spelling of 467888952 in words is "four hundred sixty-seven million, eight hundred eighty-eight thousand, nine hundred fifty-two".