48449280 has 288 divisors, whose sum is σ = 178956288. Its totient is φ = 11059200.

The previous prime is 48449273. The next prime is 48449281. The reversal of 48449280 is 8294484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309422 + ... + 1309458.

It is an arithmetic number, because the mean of its divisors is an integer number (621376).

Almost surely, 2^48449280 is an apocalyptic number.

48449280 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 48449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478144).

48449280 is an abundant number, since it is smaller than the sum of its proper divisors (130507008).

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

48449280 is a wasteful number, since it uses less digits than its factorization.

48449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 48449280 is about 6960.5517022719. The cubic root of 48449280 is about 364.5544823827.

The spelling of 48449280 in words is "forty-eight million, four hundred forty-nine thousand, two hundred eighty".