468042120 has 432 divisors, whose sum is σ = 1928274660. Its totient is φ = 98122752.

The previous prime is 468042109. The next prime is 468042149. The reversal of 468042120 is 21240864.

It can be written as a sum of positive squares in 6 ways, for example, as 21734244 + 446307876 = 4662^2 + 21126^2 .

468042120 is a modest number, since divided by 42120 gives 4680 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2981082 + ... + 2981238.

Almost surely, 2^468042120 is an apocalyptic number.

468042120 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 468042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964137330).

468042120 is an abundant number, since it is smaller than the sum of its proper divisors (1460232540).

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

468042120 is a wasteful number, since it uses less digits than its factorization.

468042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 468042120 is about 21634.2811297256. The cubic root of 468042120 is about 776.4168987751.

Adding to 468042120 its reverse (21240864), we get a palindrome (489282984).

It can be divided in two parts, 4680 and 42120, that multiplied together give a square (197121600 = 14040²).

The spelling of 468042120 in words is "four hundred sixty-eight million, forty-two thousand, one hundred twenty".