54735440 has 40 divisors (see below), whose sum is σ = 128447880. Its totient is φ = 21689856.

The previous prime is 54735437. The next prime is 54735463. The reversal of 54735440 is 4453745.

It can be written as a sum of positive squares in 4 ways, for example, as 24880144 + 29855296 = 4988^2 + 5464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 54735397 and 54735406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5582 + ... + 11858.

It is an arithmetic number, because the mean of its divisors is an integer number (3211197).

Almost surely, 2^54735440 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 54735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64223940).

54735440 is an abundant number, since it is smaller than the sum of its proper divisors (73712440).

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

54735440 is a wasteful number, since it uses less digits than its factorization.

54735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 54735440 is about 7398.3403544309. The cubic root of 54735440 is about 379.6845026718.

The spelling of 54735440 in words is "fifty-four million, seven hundred thirty-five thousand, four hundred forty".