48085200 has 270 divisors, whose sum is σ = 180873654. Its totient is φ = 11819520.

The previous prime is 48085199. The next prime is 48085201. The reversal of 48085200 is 258084.

It is an interprime number because it is at equal distance from previous prime (48085199) and next prime (48085201).

It can be written as a sum of positive squares in 3 ways, for example, as 10188864 + 37896336 = 3192^2 + 6156^2 .

It is a super-3 number, since 3×48085200³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48085201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1299582 + ... + 1299618.

Almost surely, 2^48085200 is an apocalyptic number.

48085200 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 48085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90436827).

48085200 is an abundant number, since it is smaller than the sum of its proper divisors (132788454).

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

48085200 is a wasteful number, since it uses less digits than its factorization.

48085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48085200 is about 6934.3492845400. The cubic root of 48085200 is about 363.6390174049.

The spelling of 48085200 in words is "forty-eight million, eighty-five thousand, two hundred".