46342656 has 120 divisors (see below), whose sum is σ = 136447740. Its totient is φ = 15138816.

The previous prime is 46342651. The next prime is 46342661. The reversal of 46342656 is 65624364.

It is an interprime number because it is at equal distance from previous prime (46342651) and next prime (46342661).

It can be written as a sum of positive squares in 2 ways, for example, as 36000000 + 10342656 = 6000^2 + 3216^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 46342656.

It is not an unprimeable number, because it can be changed into a prime (46342651) 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 11 ways as a sum of consecutive naturals, for example, 410056 + ... + 410168.

Almost surely, 2^46342656 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 46342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68223870).

46342656 is an abundant number, since it is smaller than the sum of its proper divisors (90105084).

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

46342656 is a wasteful number, since it uses less digits than its factorization.

46342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 46342656 is about 6807.5440505369. The cubic root of 46342656 is about 359.1922630992.

The spelling of 46342656 in words is "forty-six million, three hundred forty-two thousand, six hundred fifty-six".