468558720 has 192 divisors, whose sum is σ = 1849292640. Its totient is φ = 107089920.

The previous prime is 468558689. The next prime is 468558731. The reversal of 468558720 is 27855864.

468558720 is a `hidden beast` number, since 4 + 68 + 5 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 34510 + ... + 46130.

Almost surely, 2^468558720 is an apocalyptic number.

468558720 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 468558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924646320).

468558720 is an abundant number, since it is smaller than the sum of its proper divisors (1380733920).

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

468558720 is a wasteful number, since it uses less digits than its factorization.

468558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 468558720 is about 21646.2172214916. The cubic root of 468558720 is about 776.7024496357.

The spelling of 468558720 in words is "four hundred sixty-eight million, five hundred fifty-eight thousand, seven hundred twenty".