48436800 has 84 divisors (see below), whose sum is σ = 158928816. Its totient is φ = 12915200.

The previous prime is 48436793. The next prime is 48436823. The reversal of 48436800 is 863484.

It is a super-2 number, since 2×48436800² = 4692247188480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 9845.

Almost surely, 2^48436800 is an apocalyptic number.

48436800 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 48436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79464408).

48436800 is an abundant number, since it is smaller than the sum of its proper divisors (110492016).

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

48436800 is a wasteful number, since it uses less digits than its factorization.

48436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48436800 is about 6959.6551638713. The cubic root of 48436800 is about 364.5231779571.

The spelling of 48436800 in words is "forty-eight million, four hundred thirty-six thousand, eight hundred".