46826496 has 66 divisors (see below), whose sum is σ = 135237102. Its totient is φ = 15605760.

The previous prime is 46826489. The next prime is 46826513. The reversal of 46826496 is 69462864.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 14745600 = 5664^2 + 3840^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6676 + ... + 11756.

It is an arithmetic number, because the mean of its divisors is an integer number (2049047).

Almost surely, 2^46826496 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 46826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67618551).

46826496 is an abundant number, since it is smaller than the sum of its proper divisors (88410606).

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

46826496 is a wasteful number, since it uses less digits than its factorization.

46826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5086 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46826496 is about 6842.9888206835. The cubic root of 46826496 is about 360.4379854379.

The spelling of 46826496 in words is "forty-six million, eight hundred twenty-six thousand, four hundred ninety-six".