54559440 has 320 divisors, whose sum is σ = 212486400. Its totient is φ = 12773376.

The previous prime is 54559391. The next prime is 54559441. The reversal of 54559440 is 4495545.

It is a super-2 number, since 2×54559440² = 5953464986227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54559395 and 54559404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54559441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814287 + ... + 814353.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^54559440 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 54559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

54559440 is an abundant number, since it is smaller than the sum of its proper divisors (157926960).

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

54559440 is a wasteful number, since it uses less digits than its factorization.

54559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54559440 is about 7386.4362178252. The cubic root of 54559440 is about 379.2771113811.

The spelling of 54559440 in words is "fifty-four million, five hundred fifty-nine thousand, four hundred forty".