46211264 has 56 divisors (see below), whose sum is σ = 102540816. Its totient is φ = 20480000.

The previous prime is 46211233. The next prime is 46211279.

46211264 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 28064 + ... + 29664.

It is an arithmetic number, because the mean of its divisors is an integer number (1831086).

Almost surely, 2^46211264 is an apocalyptic number.

46211264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51270408).

46211264 is an abundant number, since it is smaller than the sum of its proper divisors (56329552).

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

46211264 is a wasteful number, since it uses less digits than its factorization.

46211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 46211264 is about 6797.8867304479. The cubic root of 46211264 is about 358.8524777758.

It can be divided in two parts, 4621 and 1264, that added together give a palindrome (5885).

The spelling of 46211264 in words is "forty-six million, two hundred eleven thousand, two hundred sixty-four".