46944288 has 144 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 14141952.

The previous prime is 46944263. The next prime is 46944343. The reversal of 46944288 is 88244964.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125670 + ... + 126042.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^46944288 is an apocalyptic number.

46944288 is a gapful number since it is divisible by the number (48) 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 46944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

46944288 is an abundant number, since it is smaller than the sum of its proper divisors (100082592).

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

46944288 is a wasteful number, since it uses less digits than its factorization.

46944288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 46944288 is about 6851.5901803888. The cubic root of 46944288 is about 360.7399594948.

The spelling of 46944288 in words is "forty-six million, nine hundred forty-four thousand, two hundred eighty-eight".