462889480320 has 768 divisors, whose sum is σ = 1764322560000. Its totient is φ = 111317483520.

The previous prime is 462889480259. The next prime is 462889480343. The reversal of 462889480320 is 23084988264.

462889480320 is a `hidden beast` number, since 4 + 62 + 8 + 89 + 480 + 3 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330870981 + ... + 330872379.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295000).

Almost surely, 2^462889480320 is an apocalyptic number.

462889480320 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 462889480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882161280000).

462889480320 is an abundant number, since it is smaller than the sum of its proper divisors (1301433079680).

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

462889480320 is a wasteful number, since it uses less digits than its factorization.

462889480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 462889480320 in words is "four hundred sixty-two billion, eight hundred eighty-nine million, four hundred eighty thousand, three hundred twenty".