48400800 has 288 divisors, whose sum is σ = 186988032. Its totient is φ = 10644480.

The previous prime is 48400799. The next prime is 48400801. The reversal of 48400800 is 800484.

It is an interprime number because it is at equal distance from previous prime (48400799) and next prime (48400801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (48400801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722367 + ... + 722433.

It is an arithmetic number, because the mean of its divisors is an integer number (649264).

Almost surely, 2^48400800 is an apocalyptic number.

48400800 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 48400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016).

48400800 is an abundant number, since it is smaller than the sum of its proper divisors (138587232).

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

48400800 is a wasteful number, since it uses less digits than its factorization.

48400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48400800 is about 6957.0683480903. The cubic root of 48400800 is about 364.4328465915.

The spelling of 48400800 in words is "forty-eight million, four hundred thousand, eight hundred".