48650400 has 216 divisors, whose sum is σ = 178230780. Its totient is φ = 12472320.

The previous prime is 48650323. The next prime is 48650411. The reversal of 48650400 is 405684.

48650400 is a `hidden beast` number, since 4 + 8 + 650 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11048976 + 37601424 = 3324^2 + 6132^2 .

It is a super-2 number, since 2×48650400² = 4733722840320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208684 + ... + 208916.

Almost surely, 2^48650400 is an apocalyptic number.

48650400 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 48650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115390).

48650400 is an abundant number, since it is smaller than the sum of its proper divisors (129580380).

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

48650400 is a wasteful number, since it uses less digits than its factorization.

48650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48650400 is about 6974.9838709491. The cubic root of 48650400 is about 365.0582255270.

The spelling of 48650400 in words is "forty-eight million, six hundred fifty thousand, four hundred".