48288240 has 480 divisors, whose sum is σ = 220985856. Its totient is φ = 9123840.

The previous prime is 48288239. The next prime is 48288241. The reversal of 48288240 is 4288284.

48288240 = 246² + 247² + ... + 542².

It is an interprime number because it is at equal distance from previous prime (48288239) and next prime (48288241).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 48288195 and 48288204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48288241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720687 + ... + 720753.

Almost surely, 2^48288240 is an apocalyptic number.

48288240 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 48288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

48288240 is an abundant number, since it is smaller than the sum of its proper divisors (172697616).

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

48288240 is a wasteful number, since it uses less digits than its factorization.

48288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48288240 is about 6948.9740249910. The cubic root of 48288240 is about 364.1501212285.

The spelling of 48288240 in words is "forty-eight million, two hundred eighty-eight thousand, two hundred forty".