54741504 has 80 divisors (see below), whose sum is σ = 147410208. Its totient is φ = 18051072.

The previous prime is 54741503. The next prime is 54741529. The reversal of 54741504 is 40514745.

It is not an unprimeable number, because it can be changed into a prime (54741503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241039 + ... + 241265.

Almost surely, 2^54741504 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 54741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73705104).

54741504 is an abundant number, since it is smaller than the sum of its proper divisors (92668704).

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

54741504 is a wasteful number, since it uses less digits than its factorization.

54741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 54741504 is about 7398.7501647238. The cubic root of 54741504 is about 379.6985235804.

The spelling of 54741504 in words is "fifty-four million, seven hundred forty-one thousand, five hundred four".