46131264 has 63 divisors (see below), whose sum is σ = 132695823. Its totient is φ = 15322752.

The previous prime is 46131247. The next prime is 46131271. The reversal of 46131264 is 46213164.

The square root of 46131264 is 6792.

It is a perfect power (a square), and thus also a powerful number.

46131264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (3456) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 162867 + ... + 163149.

Almost surely, 2^46131264 is an apocalyptic number.

46131264 is the 6792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46131264

46131264 is an abundant number, since it is smaller than the sum of its proper divisors (86564559).

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

46131264 is an equidigital number, since it uses as much as digits as its factorization.

46131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 288 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The cubic root of 46131264 is about 358.6452787942.

The spelling of 46131264 in words is "forty-six million, one hundred thirty-one thousand, two hundred sixty-four".