468828720 has 120 divisors (see below), whose sum is σ = 1667143296. Its totient is φ = 117663744.

The previous prime is 468828697. The next prime is 468828793. The reversal of 468828720 is 27828864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 6912 + ... + 31391.

Almost surely, 2^468828720 is an apocalyptic number.

468828720 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 468828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

468828720 is an abundant number, since it is smaller than the sum of its proper divisors (1198314576).

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

468828720 is a wasteful number, since it uses less digits than its factorization.

468828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38339 (or 38330 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 468828720 is about 21652.4529788197. The cubic root of 468828720 is about 776.8516087377.

The spelling of 468828720 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, seven hundred twenty".