468486720 has 448 divisors, whose sum is σ = 1840016640. Its totient is φ = 111476736.

The previous prime is 468486709. The next prime is 468486721. The reversal of 468486720 is 27684864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (468486721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829712 + ... + 4829808.

It is an arithmetic number, because the mean of its divisors is an integer number (4107180).

Almost surely, 2^468486720 is an apocalyptic number.

468486720 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 468486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920008320).

468486720 is an abundant number, since it is smaller than the sum of its proper divisors (1371529920).

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

468486720 is a wasteful number, since it uses less digits than its factorization.

468486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 468486720 is about 21644.5540494601. The cubic root of 468486720 is about 776.6626641982.

The spelling of 468486720 in words is "four hundred sixty-eight million, four hundred eighty-six thousand, seven hundred twenty".