46854144 has 156 divisors (see below), whose sum is σ = 143113152. Its totient is φ = 14745600.

The previous prime is 46854127. The next prime is 46854163. The reversal of 46854144 is 44145864.

It is a happy number.

46854144 is a `hidden beast` number, since 468 + 54 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46854099 and 46854108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142764 + ... + 1142804.

It is an arithmetic number, because the mean of its divisors is an integer number (917392).

Almost surely, 2^46854144 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 46854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576).

46854144 is an abundant number, since it is smaller than the sum of its proper divisors (96259008).

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

46854144 is a wasteful number, since it uses less digits than its factorization.

46854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 46854144 is about 6845.0086924707. The cubic root of 46854144 is about 360.5089098760.

The spelling of 46854144 in words is "forty-six million, eight hundred fifty-four thousand, one hundred forty-four".