462628872 has 96 divisors (see below), whose sum is σ = 1361568000. Its totient is φ = 141367680.

The previous prime is 462628867. The next prime is 462628879. The reversal of 462628872 is 278826264.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (462628879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36954 + ... + 47862.

It is an arithmetic number, because the mean of its divisors is an integer number (14183000).

Almost surely, 2^462628872 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 462628872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680784000).

462628872 is an abundant number, since it is smaller than the sum of its proper divisors (898939128).

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

462628872 is a wasteful number, since it uses less digits than its factorization.

462628872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10964 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 462628872 is about 21508.8091720579. The cubic root of 462628872 is about 773.4120086095.

The spelling of 462628872 in words is "four hundred sixty-two million, six hundred twenty-eight thousand, eight hundred seventy-two".