48262800 has 120 divisors (see below), whose sum is σ = 158926336. Its totient is φ = 12510720.

The previous prime is 48262789. The next prime is 48262817. The reversal of 48262800 is 826284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 43857 + ... + 44943.

Almost surely, 2^48262800 is an apocalyptic number.

48262800 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 48262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79463168).

48262800 is an abundant number, since it is smaller than the sum of its proper divisors (110663536).

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

48262800 is a wasteful number, since it uses less digits than its factorization.

48262800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48262800 is about 6947.1432977879. The cubic root of 48262800 is about 364.0861608217.

It can be divided in two parts, 4826 and 2800, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 48262800 in words is "forty-eight million, two hundred sixty-two thousand, eight hundred".