467252072 has 64 divisors (see below), whose sum is σ = 1086099840. Its totient is φ = 183859200.

The previous prime is 467252059. The next prime is 467252083. The reversal of 467252072 is 270252764.

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, 33047 + ... + 45017.

It is an arithmetic number, because the mean of its divisors is an integer number (16970310).

Almost surely, 2^467252072 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 467252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543049920).

467252072 is an abundant number, since it is smaller than the sum of its proper divisors (618847768).

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

467252072 is a wasteful number, since it uses less digits than its factorization.

467252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 467252072 is about 21616.0142487000. The cubic root of 467252072 is about 775.9797927568.

The spelling of 467252072 in words is "four hundred sixty-seven million, two hundred fifty-two thousand, seventy-two".