465372 has 48 divisors (see below), whose sum is σ = 1254400. Its totient is φ = 149040.

The previous prime is 465337. The next prime is 465373. The reversal of 465372 is 273564.

It is a happy number.

465372 is a `hidden beast` number, since 4 + 653 + 7 + 2 = 666.

465372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465373) by changing a digit.

465372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279 + ... + 3417.

2⁴⁶⁵³⁷² 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 465372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627200).

465372 is an abundant number, since it is smaller than the sum of its proper divisors (789028).

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

465372 is a wasteful number, since it uses less digits than its factorization.

465372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 465372 is about 682.1817939523. The cubic root of 465372 is about 77.4937629389.

The spelling of 465372 in words is "four hundred sixty-five thousand, three hundred seventy-two".