46644444 has 192 divisors, whose sum is σ = 154828800. Its totient is φ = 11793600.

The previous prime is 46644439. The next prime is 46644461. The reversal of 46644444 is 44444664.

46644444 is a `hidden beast` number, since 4 + 6 + 644 + 4 + 4 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 46644399 and 46644408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590397 + ... + 590475.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 2^46644444 is an apocalyptic number.

46644444 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 46644444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

46644444 is an abundant number, since it is smaller than the sum of its proper divisors (108184356).

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

46644444 is a wasteful number, since it uses less digits than its factorization.

46644444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 46644444 is about 6829.6737843033. The cubic root of 46644444 is about 359.9702753235.

The spelling of 46644444 in words is "forty-six million, six hundred forty-four thousand, four hundred forty-four".