54359424 has 240 divisors, whose sum is σ = 189943380. Its totient is φ = 15386112.

The previous prime is 54359381. The next prime is 54359443. The reversal of 54359424 is 42495345.

It is a happy number.

54359424 is a `hidden beast` number, since 5 + 43 + 594 + 24 = 666.

54359424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54359424² = 5909893955223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507979 + ... + 508085.

Almost surely, 2^54359424 is an apocalyptic number.

54359424 is a gapful number since it is divisible by the number (54) 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 54359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94971690).

54359424 is an abundant number, since it is smaller than the sum of its proper divisors (135583956).

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

54359424 is a wasteful number, since it uses less digits than its factorization.

54359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54359424 is about 7372.8843745172. The cubic root of 54359424 is about 378.8130646874.

The spelling of 54359424 in words is "fifty-four million, three hundred fifty-nine thousand, four hundred twenty-four".