468368040 has 128 divisors (see below), whose sum is σ = 1643304960. Its totient is φ = 104557824.

The previous prime is 468368027. The next prime is 468368041. The reversal of 468368040 is 40863864.

It is a self number, because there is not a number n which added to its sum of digits gives 468368040.

It is not an unprimeable number, because it can be changed into a prime (468368041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29637 + ... + 42603.

It is an arithmetic number, because the mean of its divisors is an integer number (12838320).

Almost surely, 2^468368040 is an apocalyptic number.

468368040 is a gapful number since it is divisible by the number (40) 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 468368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821652480).

468368040 is an abundant number, since it is smaller than the sum of its proper divisors (1174936920).

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

468368040 is a wasteful number, since it uses less digits than its factorization.

468368040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 468368040 is about 21641.8123085845. The cubic root of 468368040 is about 776.5970756372.

The spelling of 468368040 in words is "four hundred sixty-eight million, three hundred sixty-eight thousand, forty".