468447120 has 240 divisors, whose sum is σ = 1634181120. Its totient is φ = 120185856.

The previous prime is 468447101. The next prime is 468447127. The reversal of 468447120 is 21744864.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468447127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688497 + ... + 3688623.

It is an arithmetic number, because the mean of its divisors is an integer number (6809088).

Almost surely, 2^468447120 is an apocalyptic number.

468447120 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 468447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

468447120 is an abundant number, since it is smaller than the sum of its proper divisors (1165734000).

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

468447120 is a wasteful number, since it uses less digits than its factorization.

468447120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

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

The square root of 468447120 is about 21643.6392503664. The cubic root of 468447120 is about 776.6407804701.

The spelling of 468447120 in words is "four hundred sixty-eight million, four hundred forty-seven thousand, one hundred twenty".