464540302000 has 80 divisors (see below), whose sum is σ = 1124291424672. Its totient is φ = 185645241600.

The previous prime is 464540301983. The next prime is 464540302043. The reversal of 464540302000 is 203045464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 464540302000.

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 15 ways as a sum of consecutive naturals, for example, 2079747 + ... + 2292253.

Almost surely, 2^464540302000 is an apocalyptic number.

464540302000 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 464540302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562145712336).

464540302000 is an abundant number, since it is smaller than the sum of its proper divisors (659751122672).

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

464540302000 is a wasteful number, since it uses less digits than its factorization.

464540302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213623 (or 213607 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 464540302000 its reverse (203045464), we get a palindrome (464743347464).

The spelling of 464540302000 in words is "four hundred sixty-four billion, five hundred forty million, three hundred two thousand".