468219360 has 192 divisors, whose sum is σ = 1694697984. Its totient is φ = 106444800.

The previous prime is 468219359. The next prime is 468219361. The reversal of 468219360 is 63912864.

It is an interprime number because it is at equal distance from previous prime (468219359) and next prime (468219361).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468219361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111950 + ... + 1112370.

It is an arithmetic number, because the mean of its divisors is an integer number (8826552).

Almost surely, 2^468219360 is an apocalyptic number.

468219360 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 468219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847348992).

468219360 is an abundant number, since it is smaller than the sum of its proper divisors (1226478624).

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

468219360 is a wasteful number, since it uses less digits than its factorization.

468219360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 468219360 is about 21638.3770186213. The cubic root of 468219360 is about 776.5148919246.

It can be divided in two parts, 4682 and 19360, that added together give a palindrome (24042).

The spelling of 468219360 in words is "four hundred sixty-eight million, two hundred nineteen thousand, three hundred sixty".