467873252 has 96 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 162501120.

The previous prime is 467873213. The next prime is 467873257. The reversal of 467873252 is 252378764.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (467873257) 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 31 ways as a sum of consecutive naturals, for example, 97133 + ... + 101835.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^467873252 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 467873252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

467873252 is an abundant number, since it is smaller than the sum of its proper divisors (670118428).

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

467873252 is a wasteful number, since it uses less digits than its factorization.

467873252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4759 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 467873252 is about 21630.3779902248. The cubic root of 467873252 is about 776.3235113536.

The spelling of 467873252 in words is "four hundred sixty-seven million, eight hundred seventy-three thousand, two hundred fifty-two".