54455760 has 160 divisors (see below), whose sum is σ = 198737280. Its totient is φ = 13658112.

The previous prime is 54455741. The next prime is 54455813. The reversal of 54455760 is 6755445.

It is a happy number.

54455760 is a `hidden beast` number, since 5 + 44 + 557 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35979 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 2^54455760 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 54455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

54455760 is an abundant number, since it is smaller than the sum of its proper divisors (144281520).

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

54455760 is a wasteful number, since it uses less digits than its factorization.

54455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1510 counting only the distinct ones).

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

The square root of 54455760 is about 7379.4146109295. The cubic root of 54455760 is about 379.0367106598.

The spelling of 54455760 in words is "fifty-four million, four hundred fifty-five thousand, seven hundred sixty".