462860928 has 96 divisors (see below), whose sum is σ = 1350928800. Its totient is φ = 152087040.

The previous prime is 462860911. The next prime is 462860929. The reversal of 462860928 is 829068264.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (462860929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78963 + ... + 84621.

It is an arithmetic number, because the mean of its divisors is an integer number (14072175).

Almost surely, 2^462860928 is an apocalyptic number.

462860928 is a gapful number since it is divisible by the number (48) 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 462860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675464400).

462860928 is an abundant number, since it is smaller than the sum of its proper divisors (888067872).

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

462860928 is a wasteful number, since it uses less digits than its factorization.

462860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 462860928 is about 21514.2029366649. The cubic root of 462860928 is about 773.5413022384.

It can be divided in two parts, 4628 and 60928, that added together give a palindrome (65556).

The spelling of 462860928 in words is "four hundred sixty-two million, eight hundred sixty thousand, nine hundred twenty-eight".