54705456 has 200 divisors, whose sum is σ = 181488384. Its totient is φ = 15759360.

The previous prime is 54705437. The next prime is 54705461. The reversal of 54705456 is 65450745.

54705456 = 4² + 5² + ... + 547².

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 54705456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286321 + ... + 286511.

Almost surely, 2^54705456 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 54705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

54705456 is an abundant number, since it is smaller than the sum of its proper divisors (126782928).

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

54705456 is a wasteful number, since it uses less digits than its factorization.

54705456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54705456 is about 7396.3136764202. The cubic root of 54705456 is about 379.6151597893.

The spelling of 54705456 in words is "fifty-four million, seven hundred five thousand, four hundred fifty-six".