468236160 has 512 divisors, whose sum is σ = 1958400000. Its totient is φ = 105670656.

The previous prime is 468236129. The next prime is 468236191. The reversal of 468236160 is 61632864.

468236160 is a `hidden beast` number, since 468 + 2 + 36 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (468236129) and next prime (468236191).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927001 + ... + 5927079.

It is an arithmetic number, because the mean of its divisors is an integer number (3825000).

Almost surely, 2^468236160 is an apocalyptic number.

468236160 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 468236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200000).

468236160 is an abundant number, since it is smaller than the sum of its proper divisors (1490163840).

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

468236160 is an equidigital number, since it uses as much as digits as its factorization.

468236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 468236160 is about 21638.7652143092. The cubic root of 468236160 is about 776.5241790916.

The spelling of 468236160 in words is "four hundred sixty-eight million, two hundred thirty-six thousand, one hundred sixty".