468219648 has 144 divisors (see below), whose sum is σ = 1401039360. Its totient is φ = 137736192.

The previous prime is 468219643. The next prime is 468219659. The reversal of 468219648 is 846912864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 468219597 and 468219606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468219643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228613 + ... + 230651.

It is an arithmetic number, because the mean of its divisors is an integer number (9729440).

Almost surely, 2^468219648 is an apocalyptic number.

468219648 is a gapful number since it is divisible by the number (48) 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 468219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700519680).

468219648 is an abundant number, since it is smaller than the sum of its proper divisors (932819712).

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

468219648 is a wasteful number, since it uses less digits than its factorization.

468219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2080 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 468219648 is about 21638.3836734632. The cubic root of 468219648 is about 776.5150511351.

It can be divided in two parts, 468 and 219648, that added together give a triangular number (220116 = T₆₆₃).

The spelling of 468219648 in words is "four hundred sixty-eight million, two hundred nineteen thousand, six hundred forty-eight".