54369792 has 240 divisors, whose sum is σ = 178738560. Its totient is φ = 16422912.

The previous prime is 54369779. The next prime is 54369797. The reversal of 54369792 is 29796345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54369797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363893 + ... + 2363915.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

It is a vampire number, since it can be written as 5472 ⋅ 9936 (with its own digits).

Almost surely, 2^54369792 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 54369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

54369792 is an abundant number, since it is smaller than the sum of its proper divisors (124368768).

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

54369792 is an equidigital number, since it uses as much as digits as its factorization.

54369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 54369792 is about 7373.5874579475. The cubic root of 54369792 is about 378.8371468912.

The spelling of 54369792 in words is "fifty-four million, three hundred sixty-nine thousand, seven hundred ninety-two".