465705000 has 240 divisors, whose sum is σ = 1608235200. Its totient is φ = 121680000.

The previous prime is 465704983. The next prime is 465705001. The reversal of 465705000 is 507564.

465705000 is a `hidden beast` number, since 4 + 657 + 0 + 5 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×465705000² = 433762294050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465705001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3554935 + ... + 3555065.

It is an arithmetic number, because the mean of its divisors is an integer number (6700980).

Almost surely, 2^465705000 is an apocalyptic number.

465705000 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 465705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804117600).

465705000 is an abundant number, since it is smaller than the sum of its proper divisors (1142530200).

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

465705000 is a wasteful number, since it uses less digits than its factorization.

465705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 465705000 is about 21580.1992576528. The cubic root of 465705000 is about 775.1224225613.

The spelling of 465705000 in words is "four hundred sixty-five million, seven hundred five thousand".