465705760 has 96 divisors (see below), whose sum is σ = 1192372272. Its totient is φ = 170864640.

The previous prime is 465705733. The next prime is 465705767. The reversal of 465705760 is 67507564.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44142736 + 421563024 = 6644^2 + 20532^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (465705767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375862 + ... + 377098.

Almost surely, 2^465705760 is an apocalyptic number.

465705760 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 465705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596186136).

465705760 is an abundant number, since it is smaller than the sum of its proper divisors (726666512).

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

465705760 is a wasteful number, since it uses less digits than its factorization.

465705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 465705760 is about 21580.2168663802. The cubic root of 465705760 is about 775.1228442108.

The spelling of 465705760 in words is "four hundred sixty-five million, seven hundred five thousand, seven hundred sixty".