468308628 has 72 divisors (see below), whose sum is σ = 1240529472. Its totient is φ = 154462464.

The previous prime is 468308623. The next prime is 468308629. The reversal of 468308628 is 826803864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468308623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91801 + ... + 96767.

It is an arithmetic number, because the mean of its divisors is an integer number (17229576).

Almost surely, 2^468308628 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 468308628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620264736).

468308628 is an abundant number, since it is smaller than the sum of its proper divisors (772220844).

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

468308628 is a wasteful number, since it uses less digits than its factorization.

468308628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468308628 is about 21640.4396443326. The cubic root of 468308628 is about 776.5642374042.

The spelling of 468308628 in words is "four hundred sixty-eight million, three hundred eight thousand, six hundred twenty-eight".