467161344 has 180 divisors, whose sum is σ = 1501009356. Its totient is φ = 143659008.

The previous prime is 467161307. The next prime is 467161367. The reversal of 467161344 is 443161764.

467161344 is a `hidden beast` number, since 467 + 161 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 334450944 = 11520^2 + 18288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 467161299 and 467161308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268702 + ... + 270434.

Almost surely, 2^467161344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750504678).

467161344 is an abundant number, since it is smaller than the sum of its proper divisors (1033848012).

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

467161344 is a wasteful number, since it uses less digits than its factorization.

467161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1751 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 467161344 is about 21613.9155175549. The cubic root of 467161344 is about 775.9295645851.

The spelling of 467161344 in words is "four hundred sixty-seven million, one hundred sixty-one thousand, three hundred forty-four".