465200946 has 96 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 129790080.

The previous prime is 465200933. The next prime is 465200993. The reversal of 465200946 is 649002564.

465200946 is a `hidden beast` number, since 46 + 520 + 0 + 94 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 465200946.

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 47 ways as a sum of consecutive naturals, for example, 1332780 + ... + 1333128.

It is an arithmetic number, because the mean of its divisors is an integer number (12285000).

Almost surely, 2^465200946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465200946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

465200946 is an abundant number, since it is smaller than the sum of its proper divisors (714159054).

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

465200946 is a wasteful number, since it uses less digits than its factorization.

465200946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 465200946 is about 21568.5174733916. The cubic root of 465200946 is about 774.8426713589.

The spelling of 465200946 in words is "four hundred sixty-five million, two hundred thousand, nine hundred forty-six".