465506000 has 40 divisors (see below), whose sum is σ = 1125598344. Its totient is φ = 186201600.

The previous prime is 465505969. The next prime is 465506009. The reversal of 465506000 is 605564.

It can be written as a sum of positive squares in 4 ways, for example, as 46566976 + 418939024 = 6824^2 + 20468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465506009) by changing a digit.

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, 114377 + ... + 118376.

Almost surely, 2^465506000 is an apocalyptic number.

465506000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465506000 is an abundant number, since it is smaller than the sum of its proper divisors (660092344).

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

465506000 is a wasteful number, since it uses less digits than its factorization.

465506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232776 (or 232760 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 465506000 is about 21575.5880568758. The cubic root of 465506000 is about 775.0120012016.

The spelling of 465506000 in words is "four hundred sixty-five million, five hundred six thousand".