465120 has 144 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 110592.

The previous prime is 465119. The next prime is 465133. The reversal of 465120 is 21564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×465120² = 432673228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 465093 and 465102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24471 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2⁴⁶⁵¹²⁰ is an apocalyptic number.

465120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

465120 is an abundant number, since it is smaller than the sum of its proper divisors (1303920).

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

465120 is a wasteful number, since it uses less digits than its factorization.

465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 465120 is about 681.9970674424. The cubic root of 465120 is about 77.4797727302.

Adding to 465120 its reverse (21564), we get a palindrome (486684).

Subtracting from 465120 its reverse (21564), we obtain a square (443556 = 666²).

It can be divided in two parts, 465 and 120, that added together give a palindrome (585).

The spelling of 465120 in words is "four hundred sixty-five thousand, one hundred twenty".