54456048 has 30 divisors (see below), whose sum is σ = 152401704. Its totient is φ = 18151968.

The previous prime is 54456047. The next prime is 54456097. The reversal of 54456048 is 84065445.

54456048 is a `hidden beast` number, since 5 + 4 + 45 + 604 + 8 = 666.

It is a super-4 number, since 4×54456048⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54456041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188940 + ... + 189227.

Almost surely, 2^54456048 is an apocalyptic number.

It is an amenable number.

54456048 is an abundant number, since it is smaller than the sum of its proper divisors (97945656).

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

54456048 is a wasteful number, since it uses less digits than its factorization.

54456048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378181 (or 378172 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54456048 is about 7379.4341246467. The cubic root of 54456048 is about 379.0373788620.

The spelling of 54456048 in words is "fifty-four million, four hundred fifty-six thousand, forty-eight".