468828360 has 384 divisors, whose sum is σ = 2047368960. Its totient is φ = 89856000.

The previous prime is 468828359. The next prime is 468828361. The reversal of 468828360 is 63828864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468828359) and next prime (468828361).

It is a super-2 number, since 2×468828360² = 439600062280579200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (468828361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359710 + ... + 361010.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2^468828360 is an apocalyptic number.

468828360 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 468828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

468828360 is an abundant number, since it is smaller than the sum of its proper divisors (1578540600).

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

468828360 is a wasteful number, since it uses less digits than its factorization.

468828360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468828360 is about 21652.4446656723. Note that the first 3 decimals coincide. The cubic root of 468828360 is about 776.8514098970.

It can be divided in two parts, 468 and 828360, that added together give a palindrome (828828).

The spelling of 468828360 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, three hundred sixty".