465665760 has 576 divisors, whose sum is σ = 1981324800. Its totient is φ = 101025792.

The previous prime is 465665747. The next prime is 465665803. The reversal of 465665760 is 67566564.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892611 + ... + 7892669.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^465665760 is an apocalyptic number.

465665760 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 465665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

465665760 is an abundant number, since it is smaller than the sum of its proper divisors (1515659040).

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

465665760 is a wasteful number, since it uses less digits than its factorization.

465665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 465665760 is about 21579.2900717331. The cubic root of 465665760 is about 775.1006515130.

It can be divided in two parts, 46566 and 5760, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 465665760 in words is "four hundred sixty-five million, six hundred sixty-five thousand, seven hundred sixty".