48441600 has 243 divisors, whose sum is σ = 179367643. Its totient is φ = 12472320.

The previous prime is 48441593. The next prime is 48441643. The reversal of 48441600 is 614484.

The square root of 48441600 is 6960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 47775744 = 816^2 + 6912^2 .

It is a super-2 number, since 2×48441600² = 4693177221120000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1670386 + ... + 1670414.

Almost surely, 2^48441600 is an apocalyptic number.

48441600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48441600 is the 6960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48441600

48441600 is an abundant number, since it is smaller than the sum of its proper divisors (130926043).

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

48441600 is a wasteful number, since it uses less digits than its factorization.

48441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 48441600 is about 364.5352187571.

The spelling of 48441600 in words is "forty-eight million, four hundred forty-one thousand, six hundred".