465303165264 has 240 divisors, whose sum is σ = 1497402017280. Its totient is φ = 132127269120.

The previous prime is 465303165233. The next prime is 465303165281. The reversal of 465303165264 is 462561303564.

465303165264 is a `hidden beast` number, since 4 + 6 + 530 + 3 + 1 + 6 + 52 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115773847 + ... + 115777865.

It is an arithmetic number, because the mean of its divisors is an integer number (6239175072).

Almost surely, 2^465303165264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465303165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748701008640).

465303165264 is an abundant number, since it is smaller than the sum of its proper divisors (1032098852016).

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

465303165264 is a wasteful number, since it uses less digits than its factorization.

465303165264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 465303165264 in words is "four hundred sixty-five billion, three hundred three million, one hundred sixty-five thousand, two hundred sixty-four".