54029408 has 48 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 26188800.

The previous prime is 54029401. The next prime is 54029413. The reversal of 54029408 is 80492045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54029401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173573 + ... + 173883.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^54029408 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 54029408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

54029408 is an abundant number, since it is smaller than the sum of its proper divisors (55651072).

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

54029408 is a wasteful number, since it uses less digits than its factorization.

54029408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

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

The square root of 54029408 is about 7350.4699169509. The cubic root of 54029408 is about 378.0449168837.

The spelling of 54029408 in words is "fifty-four million, twenty-nine thousand, four hundred eight".