54004960 has 96 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 20471808.

The previous prime is 54004957. The next prime is 54004963. The reversal of 54004960 is 6940045.

It is an interprime number because it is at equal distance from previous prime (54004957) and next prime (54004963).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54004963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477864 + ... + 477976.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^54004960 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 54004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

54004960 is an abundant number, since it is smaller than the sum of its proper divisors (80442080).

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

54004960 is a wasteful number, since it uses less digits than its factorization.

54004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 54004960 is about 7348.8067058537. The cubic root of 54004960 is about 377.9878872223.

The spelling of 54004960 in words is "fifty-four million, four thousand, nine hundred sixty".