468702720 has 160 divisors (see below), whose sum is σ = 1665116640. Its totient is φ = 124968960.

The previous prime is 468702719. The next prime is 468702749. The reversal of 468702720 is 27207864.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 65730 + ... + 72510.

It is an arithmetic number, because the mean of its divisors is an integer number (10406979).

Almost surely, 2^468702720 is an apocalyptic number.

468702720 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 468702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832558320).

468702720 is an abundant number, since it is smaller than the sum of its proper divisors (1196413920).

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

468702720 is an equidigital number, since it uses as much as digits as its factorization.

468702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 468702720 is about 21649.5431822475. The cubic root of 468702720 is about 776.7820082854.

The spelling of 468702720 in words is "four hundred sixty-eight million, seven hundred two thousand, seven hundred twenty".