465861760 has 256 divisors, whose sum is σ = 1446278400. Its totient is φ = 139345920.

The previous prime is 465861733. The next prime is 465861763. The reversal of 465861760 is 67168564.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465861763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106350 + ... + 1106770.

It is an arithmetic number, because the mean of its divisors is an integer number (5649525).

Almost surely, 2^465861760 is an apocalyptic number.

465861760 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 465861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723139200).

465861760 is an abundant number, since it is smaller than the sum of its proper divisors (980416640).

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

465861760 is a wasteful number, since it uses less digits than its factorization.

465861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 465861760 is about 21583.8309852538. The cubic root of 465861760 is about 775.2093835917.

The spelling of 465861760 in words is "four hundred sixty-five million, eight hundred sixty-one thousand, seven hundred sixty".