468045340 has 96 divisors (see below), whose sum is σ = 1167513984. Its totient is φ = 154275840.

The previous prime is 468045337. The next prime is 468045349. The reversal of 468045340 is 43540864.

468045340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 468045296 and 468045305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468045349) 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, 418462 + ... + 419578.

It is an arithmetic number, because the mean of its divisors is an integer number (12161604).

Almost surely, 2^468045340 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 468045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583756992).

468045340 is an abundant number, since it is smaller than the sum of its proper divisors (699468644).

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

468045340 is a wasteful number, since it uses less digits than its factorization.

468045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 468045340 is about 21634.3555485251. The cubic root of 468045340 is about 776.4186792820.

The spelling of 468045340 in words is "four hundred sixty-eight million, forty-five thousand, three hundred forty".