465920 has 88 divisors (see below), whose sum is σ = 1375584. Its totient is φ = 147456.

The previous prime is 465917. The next prime is 465929. The reversal of 465920 is 29564.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 465920.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465920.

It is not an unprimeable number, because it can be changed into a prime (465929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35834 + ... + 35846.

2⁴⁶⁵⁹²⁰ is an apocalyptic number.

465920 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 465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687792).

465920 is an abundant number, since it is smaller than the sum of its proper divisors (909664).

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

465920 is a wasteful number, since it uses less digits than its factorization.

465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 465920 is about 682.5833282464. The cubic root of 465920 is about 77.5241686675.

The spelling of 465920 in words is "four hundred sixty-five thousand, nine hundred twenty".