468846400 has 168 divisors, whose sum is σ = 1333414656. Its totient is φ = 160358400.

The previous prime is 468846397. The next prime is 468846403. The reversal of 468846400 is 4648864.

It is an interprime number because it is at equal distance from previous prime (468846397) and next prime (468846403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468846403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298417 + ... + 299983.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^468846400 is an apocalyptic number.

468846400 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 468846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666707328).

468846400 is an abundant number, since it is smaller than the sum of its proper divisors (864568256).

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

468846400 is a wasteful number, since it uses less digits than its factorization.

468846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 468846400 is about 21652.8612428011. The cubic root of 468846400 is about 776.8613738987.

The spelling of 468846400 in words is "four hundred sixty-eight million, eight hundred forty-six thousand, four hundred".