48097280 has 192 divisors, whose sum is σ = 146240640. Its totient is φ = 14745600.

The previous prime is 48097277. The next prime is 48097289. The reversal of 48097280 is 8279084.

It is a super-4 number, since 4×48097280⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (48097289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788450 + ... + 788510.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^48097280 is an apocalyptic number.

48097280 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 48097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

48097280 is an abundant number, since it is smaller than the sum of its proper divisors (98143360).

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

48097280 is a wasteful number, since it uses less digits than its factorization.

48097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 48097280 is about 6935.2202560553. The cubic root of 48097280 is about 363.6694660774.

The spelling of 48097280 in words is "forty-eight million, ninety-seven thousand, two hundred eighty".