468828640 has 48 divisors (see below), whose sum is σ = 1265840352. Its totient is φ = 160740864.

The previous prime is 468828637. The next prime is 468828643. The reversal of 468828640 is 46828864.

It is an interprime number because it is at equal distance from previous prime (468828637) and next prime (468828643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468828643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208179 + ... + 210418.

It is an arithmetic number, because the mean of its divisors is an integer number (26371674).

Almost surely, 2^468828640 is an apocalyptic number.

468828640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468828640 is an abundant number, since it is smaller than the sum of its proper divisors (797011712).

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

468828640 is a wasteful number, since it uses less digits than its factorization.

468828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418619 (or 418611 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 468828640 is about 21652.4511314539. The cubic root of 468828640 is about 776.8515645508.

The spelling of 468828640 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, six hundred forty".