54174240 has 144 divisors (see below), whose sum is σ = 195832728. Its totient is φ = 13590528.

The previous prime is 54174193. The next prime is 54174251. The reversal of 54174240 is 4247145.

54174240 is a `hidden beast` number, since 5 + 417 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54110736 + 63504 = 7356^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23374 + ... + 25586.

Almost surely, 2^54174240 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 54174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97916364).

54174240 is an abundant number, since it is smaller than the sum of its proper divisors (141658488).

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

54174240 is a wasteful number, since it uses less digits than its factorization.

54174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 54174240 is about 7360.3152106415. The cubic root of 54174240 is about 378.3824130256.

The spelling of 54174240 in words is "fifty-four million, one hundred seventy-four thousand, two hundred forty".