468448120 has 128 divisors (see below), whose sum is σ = 1251993600. Its totient is φ = 154400256.

The previous prime is 468448111. The next prime is 468448163. The reversal of 468448120 is 21844864.

It is a super-2 number, since 2×468448120² = 438887282263068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 468448120.

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, 1066861 + ... + 1067299.

It is an arithmetic number, because the mean of its divisors is an integer number (9781200).

Almost surely, 2^468448120 is an apocalyptic number.

468448120 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 468448120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625996800).

468448120 is an abundant number, since it is smaller than the sum of its proper divisors (783545480).

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

468448120 is a wasteful number, since it uses less digits than its factorization.

468448120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 468448120 is about 21643.6623518295. The cubic root of 468448120 is about 776.6413331046.

The spelling of 468448120 in words is "four hundred sixty-eight million, four hundred forty-eight thousand, one hundred twenty".