462754328008 has 128 divisors (see below), whose sum is σ = 1104269137920. Its totient is φ = 177227182080.

The previous prime is 462754327969. The next prime is 462754328009. The reversal of 462754328008 is 800823457264.

It is not an unprimeable number, because it can be changed into a prime (462754328009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416210 + ... + 1712062.

It is an arithmetic number, because the mean of its divisors is an integer number (8627102640).

Almost surely, 2^462754328008 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 462754328008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552134568960).

462754328008 is an abundant number, since it is smaller than the sum of its proper divisors (641514809912).

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

462754328008 is a wasteful number, since it uses less digits than its factorization.

462754328008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295967 (or 295963 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 462754328008 in words is "four hundred sixty-two billion, seven hundred fifty-four million, three hundred twenty-eight thousand, eight".