465723520 has 64 divisors (see below), whose sum is σ = 1117022400. Its totient is φ = 185678848.

The previous prime is 465723491. The next prime is 465723523. The reversal of 465723520 is 25327564.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (465723523) 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, 228747 + ... + 230773.

It is an arithmetic number, because the mean of its divisors is an integer number (17453475).

Almost surely, 2^465723520 is an apocalyptic number.

465723520 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 465723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558511200).

465723520 is an abundant number, since it is smaller than the sum of its proper divisors (651298880).

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

465723520 is a wasteful number, since it uses less digits than its factorization.

465723520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 465723520 is about 21580.6283504443. The cubic root of 465723520 is about 775.1326973612.

The spelling of 465723520 in words is "four hundred sixty-five million, seven hundred twenty-three thousand, five hundred twenty".