48054240 has 288 divisors, whose sum is σ = 188225856. Its totient is φ = 11059200.

The previous prime is 48054239. The next prime is 48054241. The reversal of 48054240 is 4245084.

48054240 is a `hidden beast` number, since 4 + 80 + 542 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48054239) and next prime (48054241).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48054241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318165 + ... + 318315.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^48054240 is an apocalyptic number.

48054240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

48054240 is an abundant number, since it is smaller than the sum of its proper divisors (140171616).

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

48054240 is a wasteful number, since it uses less digits than its factorization.

48054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48054240 is about 6932.1165598971. The cubic root of 48054240 is about 363.5609567883.

It can be divided in two parts, 4805 and 4240, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 48054240 in words is "forty-eight million, fifty-four thousand, two hundred forty".