53794944 has 144 divisors (see below), whose sum is σ = 180263070. Its totient is φ = 15353856.

The previous prime is 53794933. The next prime is 53794957. The reversal of 53794944 is 44949735.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47444544 + 6350400 = 6888^2 + 2520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 53794944.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55972 + ... + 56924.

Almost surely, 2^53794944 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 53794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90131535).

53794944 is an abundant number, since it is smaller than the sum of its proper divisors (126468126).

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

53794944 is a wasteful number, since it uses less digits than its factorization.

53794944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 965 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53794944 is about 7334.5036641889. The cubic root of 53794944 is about 377.4972740765.

It can be divided in two parts, 537 and 94944, that added together give a square (95481 = 309²).

The spelling of 53794944 in words is "fifty-three million, seven hundred ninety-four thousand, nine hundred forty-four".