54735480 has 128 divisors (see below), whose sum is σ = 185760000. Its totient is φ = 14332032.

The previous prime is 54735479. The next prime is 54735487. The reversal of 54735480 is 8453745.

54735480 is a `hidden beast` number, since 547 + 35 + 4 + 80 = 666.

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 (54735487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63291 + ... + 64149.

It is an arithmetic number, because the mean of its divisors is an integer number (1451250).

Almost surely, 2^54735480 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 54735480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880000).

54735480 is an abundant number, since it is smaller than the sum of its proper divisors (131024520).

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

54735480 is a wasteful number, since it uses less digits than its factorization.

54735480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 54735480 is about 7398.3430577393. The cubic root of 54735480 is about 379.6845951614.

The spelling of 54735480 in words is "fifty-four million, seven hundred thirty-five thousand, four hundred eighty".