465760 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 179200.

The previous prime is 465743. The next prime is 465761. The reversal of 465760 is 67564.

465760 = T₁₆₁ + T₁₆₂ + ... + T₁₉₀.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465761) 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, 6525 + ... + 6595.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁴⁶⁵⁷⁶⁰ is an apocalyptic number.

465760 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 465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

465760 is an abundant number, since it is smaller than the sum of its proper divisors (677312).

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

465760 is a wasteful number, since it uses less digits than its factorization.

465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 465760 is about 682.4661163750. The cubic root of 465760 is about 77.5152935479.

It can be divided in two parts, 465 and 760, that added together give a triangular number (1225 = T₄₉).

The spelling of 465760 in words is "four hundred sixty-five thousand, seven hundred sixty".