468144720 has 120 divisors (see below), whose sum is σ = 1614769416. Its totient is φ = 121457664.

The previous prime is 468144713. The next prime is 468144731. The reversal of 468144720 is 27441864.

It can be written as a sum of positive squares in 4 ways, for example, as 172029456 + 296115264 = 13116^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17854 + ... + 35426.

Almost surely, 2^468144720 is an apocalyptic number.

468144720 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 468144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807384708).

468144720 is an abundant number, since it is smaller than the sum of its proper divisors (1146624696).

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

468144720 is a wasteful number, since it uses less digits than its factorization.

468144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 468144720 is about 21636.6522364251. The cubic root of 468144720 is about 776.4736276822.

It can be divided in two parts, 468144 and 720, that added together give a palindrome (468864).

The spelling of 468144720 in words is "four hundred sixty-eight million, one hundred forty-four thousand, seven hundred twenty".