48534800 has 60 divisors (see below), whose sum is σ = 118410576. Its totient is φ = 19113600.

The previous prime is 48534793. The next prime is 48534821. The reversal of 48534800 is 843584.

It is a super-2 number, since 2×48534800² = 4711253622080000, 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, 25895 + ... + 27705.

Almost surely, 2^48534800 is an apocalyptic number.

48534800 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 48534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59205288).

48534800 is an abundant number, since it is smaller than the sum of its proper divisors (69875776).

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

48534800 is a wasteful number, since it uses less digits than its factorization.

48534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 48534800 is about 6966.6921849612. The cubic root of 48534800 is about 364.7688534632.

The spelling of 48534800 in words is "forty-eight million, five hundred thirty-four thousand, eight hundred".