46114080 has 96 divisors (see below), whose sum is σ = 151611264. Its totient is φ = 11759616.

The previous prime is 46114073. The next prime is 46114093. The reversal of 46114080 is 8041164.

46114080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46114080.

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 15 ways as a sum of consecutive naturals, for example, 8952 + ... + 13128.

It is an arithmetic number, because the mean of its divisors is an integer number (1579284).

Almost surely, 2^46114080 is an apocalyptic number.

46114080 is a gapful number since it is divisible by the number (40) 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 46114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75805632).

46114080 is an abundant number, since it is smaller than the sum of its proper divisors (105497184).

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

46114080 is a wasteful number, since it uses less digits than its factorization.

46114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 46114080 is about 6790.7348645047. The cubic root of 46114080 is about 358.6007412049.

It can be divided in two parts, 461 and 14080, that added together give a palindrome (14541).

The spelling of 46114080 in words is "forty-six million, one hundred fourteen thousand, eighty".