48289800 has 192 divisors, whose sum is σ = 166239360. Its totient is φ = 11520000.

The previous prime is 48289793. The next prime is 48289853. The reversal of 48289800 is 898284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319725 + ... + 319875.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^48289800 is an apocalyptic number.

48289800 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 48289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

48289800 is an abundant number, since it is smaller than the sum of its proper divisors (117949560).

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

48289800 is a wasteful number, since it uses less digits than its factorization.

48289800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 48289800 is about 6949.0862708704. The cubic root of 48289800 is about 364.1540425979.

The spelling of 48289800 in words is "forty-eight million, two hundred eighty-nine thousand, eight hundred".