48338280 has 192 divisors, whose sum is σ = 170726400. Its totient is φ = 11819520.

The previous prime is 48338267. The next prime is 48338347. The reversal of 48338280 is 8283384.

It is a happy number.

48338280 is a `hidden beast` number, since 48 + 338 + 280 = 666.

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

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252985 + ... + 253175.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 2^48338280 is an apocalyptic number.

48338280 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 48338280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

48338280 is an abundant number, since it is smaller than the sum of its proper divisors (122388120).

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

48338280 is a wasteful number, since it uses less digits than its factorization.

48338280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48338280 is about 6952.5736242056. The cubic root of 48338280 is about 364.2758646208.

The spelling of 48338280 in words is "forty-eight million, three hundred thirty-eight thousand, two hundred eighty".