464520 has 96 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 104832.

The previous prime is 464483. The next prime is 464521. The reversal of 464520 is 25464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464520.

It is not an unprimeable number, because it can be changed into a prime (464521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5841 + ... + 5919.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2⁴⁶⁴⁵²⁰ is an apocalyptic number.

464520 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 464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

464520 is an abundant number, since it is smaller than the sum of its proper divisors (1177080).

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

464520 is a wasteful number, since it uses less digits than its factorization.

464520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 464520 is about 681.5570408997. The cubic root of 464520 is about 77.4464423584.

Adding to 464520 its reverse (25464), we get a palindrome (489984).

The spelling of 464520 in words is "four hundred sixty-four thousand, five hundred twenty".