54829040 has 120 divisors (see below), whose sum is σ = 151142112. Its totient is φ = 18439680.

The previous prime is 54829039. The next prime is 54829043. The reversal of 54829040 is 4092845.

It is a junction number, because it is equal to n+sod(n) for n = 54828988 and 54829006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54829043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278222 + ... + 278418.

Almost surely, 2^54829040 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 54829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

54829040 is an abundant number, since it is smaller than the sum of its proper divisors (96313072).

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

54829040 is a wasteful number, since it uses less digits than its factorization.

54829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 54829040 is about 7404.6633954556. The cubic root of 54829040 is about 379.9008051334.

The spelling of 54829040 in words is "fifty-four million, eight hundred twenty-nine thousand, forty".