48365200 has 120 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 17472000.

The previous prime is 48365173. The next prime is 48365227. The reversal of 48365200 is 256384.

It is an interprime number because it is at equal distance from previous prime (48365173) and next prime (48365227).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369135 + ... + 369265.

Almost surely, 2^48365200 is an apocalyptic number.

48365200 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 48365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933408).

48365200 is an abundant number, since it is smaller than the sum of its proper divisors (79501616).

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

48365200 is a wasteful number, since it uses less digits than its factorization.

48365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 48365200 is about 6954.5093284861. The cubic root of 48365200 is about 364.3434748491.

The spelling of 48365200 in words is "forty-eight million, three hundred sixty-five thousand, two hundred".