54305792 has 44 divisors (see below), whose sum is σ = 109530876. Its totient is φ = 26910720.

The previous prime is 54305731. The next prime is 54305807. The reversal of 54305792 is 29750345.

It can be written as a sum of positive squares in 2 ways, for example, as 23658496 + 30647296 = 4864^2 + 5536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185198 + ... + 185490.

Almost surely, 2^54305792 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 54305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54765438).

54305792 is an abundant number, since it is smaller than the sum of its proper divisors (55225084).

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

54305792 is a wasteful number, since it uses less digits than its factorization.

54305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 54305792 is about 7369.2463658097. The cubic root of 54305792 is about 378.6884423987.

The spelling of 54305792 in words is "fifty-four million, three hundred five thousand, seven hundred ninety-two".