48301600 has 72 divisors (see below), whose sum is σ = 118937700. Its totient is φ = 19153920.

The previous prime is 48301597. The next prime is 48301609. The reversal of 48301600 is 610384.

It can be written as a sum of positive squares in 6 ways, for example, as 34433424 + 13868176 = 5868^2 + 3724^2 .

It is not an unprimeable number, because it can be changed into a prime (48301609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138226 + ... + 138574.

Almost surely, 2^48301600 is an apocalyptic number.

48301600 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 48301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59468850).

48301600 is an abundant number, since it is smaller than the sum of its proper divisors (70636100).

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

48301600 is a wasteful number, since it uses less digits than its factorization.

48301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 48301600 is about 6949.9352514970. The cubic root of 48301600 is about 364.1837015027.

Adding to 48301600 its reverse (610384), we get a palindrome (48911984).

The spelling of 48301600 in words is "forty-eight million, three hundred one thousand, six hundred".