54829440 has 256 divisors, whose sum is σ = 205632000. Its totient is φ = 13768704.

The previous prime is 54829427. The next prime is 54829441. The reversal of 54829440 is 4492845.

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 = 54829395 and 54829404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54829441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328237 + ... + 328403.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^54829440 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 54829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

54829440 is an abundant number, since it is smaller than the sum of its proper divisors (150802560).

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

54829440 is a wasteful number, since it uses less digits than its factorization.

54829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54829440 is about 7404.6904054120. The cubic root of 54829440 is about 379.9017289745.

The spelling of 54829440 in words is "fifty-four million, eight hundred twenty-nine thousand, four hundred forty".