46279168 has 80 divisors (see below), whose sum is σ = 105696360. Its totient is φ = 20054016.

The previous prime is 46279141. The next prime is 46279169. The reversal of 46279168 is 86197264.

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 1763584 = 6672^2 + 1328^2 .

It is a super-2 number, since 2×46279168² = 4283522781544448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46279169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112948 + ... + 113356.

Almost surely, 2^46279168 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 46279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52848180).

46279168 is an abundant number, since it is smaller than the sum of its proper divisors (59417192).

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

46279168 is a wasteful number, since it uses less digits than its factorization.

46279168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 46279168 is about 6802.8793903758. The cubic root of 46279168 is about 359.0281607216.

The spelling of 46279168 in words is "forty-six million, two hundred seventy-nine thousand, one hundred sixty-eight".