465205460 has 24 divisors (see below), whose sum is σ = 985898760. Its totient is φ = 184374144.

The previous prime is 465205457. The next prime is 465205487. The reversal of 465205460 is 64502564.

It can be written as a sum of positive squares in 4 ways, for example, as 29398084 + 435807376 = 5422^2 + 20876^2 .

It is a super-2 number, since 2×465205460² = 432832240027623200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104519 + ... + 108878.

It is an arithmetic number, because the mean of its divisors is an integer number (41079115).

Almost surely, 2^465205460 is an apocalyptic number.

It is an amenable number.

465205460 is an abundant number, since it is smaller than the sum of its proper divisors (520693300).

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

465205460 is a wasteful number, since it uses less digits than its factorization.

465205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213515 (or 213513 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 465205460 is about 21568.6221163986. The cubic root of 465205460 is about 774.8451775364.

The spelling of 465205460 in words is "four hundred sixty-five million, two hundred five thousand, four hundred sixty".