54813440 has 144 divisors (see below), whose sum is σ = 152318880. Its totient is φ = 18677760.

The previous prime is 54813403. The next prime is 54813443. The reversal of 54813440 is 4431845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54813443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239246 + ... + 239474.

It is an arithmetic number, because the mean of its divisors is an integer number (1057770).

Almost surely, 2^54813440 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 54813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76159440).

54813440 is an abundant number, since it is smaller than the sum of its proper divisors (97505440).

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

54813440 is a wasteful number, since it uses less digits than its factorization.

54813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 54813440 is about 7403.6099302975. The cubic root of 54813440 is about 379.8647718275.

The spelling of 54813440 in words is "fifty-four million, eight hundred thirteen thousand, four hundred forty".