44948736 has 144 divisors (see below), whose sum is σ = 152073600. Its totient is φ = 12828672.

The previous prime is 44948713. The next prime is 44948749. The reversal of 44948736 is 63784944.

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 a junction number, because it is equal to n+sod(n) for n = 44948691 and 44948700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47920 + ... + 48848.

Almost surely, 2^44948736 is an apocalyptic number.

44948736 is the 3584-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76036800).

44948736 is an abundant number, since it is smaller than the sum of its proper divisors (107124864).

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

44948736 is an equidigital number, since it uses as much as digits as its factorization.

44948736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 44948736 is about 6704.3818507003. The cubic root of 44948736 is about 355.5542120320.

The spelling of 44948736 in words is "forty-four million, nine hundred forty-eight thousand, seven hundred thirty-six".