46537344 has 192 divisors, whose sum is σ = 159120000. Its totient is φ = 12773376.

The previous prime is 46537343. The next prime is 46537367. The reversal of 46537344 is 44373564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (120960) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 46537299 and 46537308.

It is not an unprimeable number, because it can be changed into a prime (46537343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233757 + ... + 233955.

It is an arithmetic number, because the mean of its divisors is an integer number (828750).

Almost surely, 2^46537344 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 46537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560000).

46537344 is an abundant number, since it is smaller than the sum of its proper divisors (112582656).

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

46537344 is a wasteful number, since it uses less digits than its factorization.

46537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 46537344 is about 6821.8284938864. The cubic root of 46537344 is about 359.6945557320.

The spelling of 46537344 in words is "forty-six million, five hundred thirty-seven thousand, three hundred forty-four".