462628256 has 48 divisors (see below), whose sum is σ = 973643328. Its totient is φ = 215846400.

The previous prime is 462628253. The next prime is 462628301. The reversal of 462628256 is 652826264.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (462628253) 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 7 ways as a sum of consecutive naturals, for example, 22511 + ... + 37841.

It is an arithmetic number, because the mean of its divisors is an integer number (20284236).

Almost surely, 2^462628256 is an apocalyptic number.

462628256 is a gapful number since it is divisible by the number (46) 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 462628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486821664).

462628256 is an abundant number, since it is smaller than the sum of its proper divisors (511015072).

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

462628256 is a wasteful number, since it uses less digits than its factorization.

462628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405 (or 15397 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 462628256 is about 21508.7948523389. The cubic root of 462628256 is about 773.4116653379.

The spelling of 462628256 in words is "four hundred sixty-two million, six hundred twenty-eight thousand, two hundred fifty-six".