54705408 has 144 divisors (see below), whose sum is σ = 160903680. Its totient is φ = 16422912.

The previous prime is 54705407. The next prime is 54705437. The reversal of 54705408 is 80450745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54705407) 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, 335535 + ... + 335697.

Almost surely, 2^54705408 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 54705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80451840).

54705408 is an abundant number, since it is smaller than the sum of its proper divisors (106198272).

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

54705408 is a wasteful number, since it uses less digits than its factorization.

54705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54705408 is about 7396.3104315598. The cubic root of 54705408 is about 379.6150487612.

It can be divided in two parts, 5470 and 5408, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 54705408 in words is "fifty-four million, seven hundred five thousand, four hundred eight".