465160320 has 224 divisors, whose sum is σ = 1668945420. Its totient is φ = 123918336.

The previous prime is 465160309. The next prime is 465160321. The reversal of 465160320 is 23061564.

465160320 is a `hidden beast` number, since 4 + 6 + 51 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 7884864 = 21384^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (465160321) 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 27 ways as a sum of consecutive naturals, for example, 466062 + ... + 467058.

Almost surely, 2^465160320 is an apocalyptic number.

465160320 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 465160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834472710).

465160320 is an abundant number, since it is smaller than the sum of its proper divisors (1203785100).

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

465160320 is an frugal number, since it uses more digits than its factorization.

465160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 465160320 is about 21567.5756634815. The cubic root of 465160320 is about 774.8201150313.

The spelling of 465160320 in words is "four hundred sixty-five million, one hundred sixty thousand, three hundred twenty".