468213460 has 96 divisors (see below), whose sum is σ = 1192633344. Its totient is φ = 152064000.

The previous prime is 468213451. The next prime is 468213469. The reversal of 468213460 is 64312864.

It is an interprime number because it is at equal distance from previous prime (468213451) and next prime (468213469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468213469) 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, 86020 + ... + 91300.

It is an arithmetic number, because the mean of its divisors is an integer number (12423264).

Almost surely, 2^468213460 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 468213460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596316672).

468213460 is an abundant number, since it is smaller than the sum of its proper divisors (724419884).

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

468213460 is a wasteful number, since it uses less digits than its factorization.

468213460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 468213460 is about 21638.2406863405. The cubic root of 468213460 is about 776.5116303073.

The spelling of 468213460 in words is "four hundred sixty-eight million, two hundred thirteen thousand, four hundred sixty".