54385904 has 80 divisors (see below), whose sum is σ = 119040000. Its totient is φ = 23950080.

The previous prime is 54385889. The next prime is 54385921. The reversal of 54385904 is 40958345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273197 + ... + 273395.

It is an arithmetic number, because the mean of its divisors is an integer number (1488000).

Almost surely, 2^54385904 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 54385904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520000).

54385904 is an abundant number, since it is smaller than the sum of its proper divisors (64654096).

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

54385904 is a wasteful number, since it uses less digits than its factorization.

54385904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 54385904 is about 7374.6799252578. The cubic root of 54385904 is about 378.8745648583.

The spelling of 54385904 in words is "fifty-four million, three hundred eighty-five thousand, nine hundred four".