46121264 has 40 divisors (see below), whose sum is σ = 102612480. Its totient is φ = 19672128.

The previous prime is 46121261. The next prime is 46121267. The reversal of 46121264 is 46212164.

46121264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46121261) and next prime (46121267).

It is not an unprimeable number, because it can be changed into a prime (46121261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25907 + ... + 27629.

It is an arithmetic number, because the mean of its divisors is an integer number (2565312).

Almost surely, 2^46121264 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 46121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51306240).

46121264 is an abundant number, since it is smaller than the sum of its proper divisors (56491216).

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

46121264 is a wasteful number, since it uses less digits than its factorization.

46121264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1971 counting only the distinct ones).

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

The square root of 46121264 is about 6791.2637999124. The cubic root of 46121264 is about 358.6193620828.

The spelling of 46121264 in words is "forty-six million, one hundred twenty-one thousand, two hundred sixty-four".