48185280 has 420 divisors, whose sum is σ = 202475592. Its totient is φ = 10782720.

The previous prime is 48185279. The next prime is 48185281. The reversal of 48185280 is 8258184.

It is an interprime number because it is at equal distance from previous prime (48185279) and next prime (48185281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48185281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3706554 + ... + 3706566.

Almost surely, 2^48185280 is an apocalyptic number.

48185280 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 48185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101237796).

48185280 is an abundant number, since it is smaller than the sum of its proper divisors (154290312).

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

48185280 is a wasteful number, since it uses less digits than its factorization.

48185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 48185280 is about 6941.5617839215. The cubic root of 48185280 is about 363.8911238999.

The spelling of 48185280 in words is "forty-eight million, one hundred eighty-five thousand, two hundred eighty".