54411600 has 60 divisors (see below), whose sum is σ = 174302336. Its totient is φ = 14509440.

The previous prime is 54411593. The next prime is 54411613. The reversal of 54411600 is 611445.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21472 + ... + 23871.

Almost surely, 2^54411600 is an apocalyptic number.

54411600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54411600 is an abundant number, since it is smaller than the sum of its proper divisors (119890736).

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

54411600 is a wasteful number, since it uses less digits than its factorization.

54411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45364 (or 45353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 54411600 is about 7376.4218968278. The cubic root of 54411600 is about 378.9342250965.

The spelling of 54411600 in words is "fifty-four million, four hundred eleven thousand, six hundred".