467152 has 40 divisors (see below), whose sum is σ = 1069376. Its totient is φ = 193536.

The previous prime is 467147. The next prime is 467171. The reversal of 467152 is 251764.

It is a super-2 number, since 2×467152² = 436461982208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4768 + ... + 4864.

2⁴⁶⁷¹⁵² 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 467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534688).

467152 is an abundant number, since it is smaller than the sum of its proper divisors (602224).

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

467152 is a wasteful number, since it uses less digits than its factorization.

467152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 467152 is about 683.4851863793. The cubic root of 467152 is about 77.5924391259.

The spelling of 467152 in words is "four hundred sixty-seven thousand, one hundred fifty-two".