468851320 has 128 divisors (see below), whose sum is σ = 1285632000. Its totient is φ = 150391296.

The previous prime is 468851311. The next prime is 468851399. The reversal of 468851320 is 23158864.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 468851320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301906 + ... + 303454.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2^468851320 is an apocalyptic number.

468851320 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 468851320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

468851320 is an abundant number, since it is smaller than the sum of its proper divisors (816780680).

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

468851320 is a wasteful number, since it uses less digits than its factorization.

468851320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 468851320 is about 21652.9748533544. The cubic root of 468851320 is about 776.8640913093.

It can be divided in two parts, 46885 and 1320, that added together give a triangular number (48205 = T₃₁₀).

The spelling of 468851320 in words is "four hundred sixty-eight million, eight hundred fifty-one thousand, three hundred twenty".