465352862832 has 800 divisors, whose sum is σ = 1650818340864. Its totient is φ = 124627507200.

The previous prime is 465352862831. The next prime is 465352862851. The reversal of 465352862832 is 238268253564.

465352862832 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 5 + 2 + 8 + 628 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465352862831) 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 159 ways as a sum of consecutive naturals, for example, 614732598 + ... + 614733354.

Almost surely, 2^465352862832 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 465352862832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825409170432).

465352862832 is an abundant number, since it is smaller than the sum of its proper divisors (1185465478032).

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

465352862832 is a wasteful number, since it uses less digits than its factorization.

465352862832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 924 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 465352862832 in words is "four hundred sixty-five billion, three hundred fifty-two million, eight hundred sixty-two thousand, eight hundred thirty-two".