468677160 has 216 divisors, whose sum is σ = 1782823770. Its totient is φ = 106468992.

The previous prime is 468677107. The next prime is 468677173. The reversal of 468677160 is 61776864.

468677160 is a `hidden beast` number, since 468 + 67 + 71 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421809444 + 46867716 = 20538^2 + 6846^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2875239 + ... + 2875401.

Almost surely, 2^468677160 is an apocalyptic number.

468677160 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 468677160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891411885).

468677160 is an abundant number, since it is smaller than the sum of its proper divisors (1314146610).

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

468677160 is a wasteful number, since it uses less digits than its factorization.

468677160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 468677160 is about 21648.9528615127. The cubic root of 468677160 is about 776.7678878147.

The spelling of 468677160 in words is "four hundred sixty-eight million, six hundred seventy-seven thousand, one hundred sixty".