46342944 has 72 divisors (see below), whose sum is σ = 135380700. Its totient is φ = 15026688.

The previous prime is 46342943. The next prime is 46342963. The reversal of 46342944 is 44924364.

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 374544 = 6780^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 46342899 and 46342908.

It is not an unprimeable number, because it can be changed into a prime (46342943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8482 + ... + 12830.

Almost surely, 2^46342944 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 46342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67690350).

46342944 is an abundant number, since it is smaller than the sum of its proper divisors (89037756).

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

46342944 is a wasteful number, since it uses less digits than its factorization.

46342944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4391 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 46342944 is about 6807.5652035071. The cubic root of 46342944 is about 359.1930071737.

The spelling of 46342944 in words is "forty-six million, three hundred forty-two thousand, nine hundred forty-four".