48800000 has 108 divisors (see below), whose sum is σ = 123749892. Its totient is φ = 19200000.

The previous prime is 48799991. The next prime is 48800009. The reversal of 48800000 is 884.

It is an interprime number because it is at equal distance from previous prime (48799991) and next prime (48800009).

It can be written as a sum of positive squares in 6 ways, for example, as 47997184 + 802816 = 6928^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (48800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799970 + ... + 800030.

Almost surely, 2^48800000 is an apocalyptic number.

48800000 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 48800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61874946).

48800000 is an abundant number, since it is smaller than the sum of its proper divisors (74949892).

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

48800000 is an frugal number, since it uses more digits than its factorization.

48800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 48800000 is about 6985.6996786292. The cubic root of 48800000 is about 365.4320273727.

Adding to 48800000 its reverse (884), we get a palindrome (48800884).

The spelling of 48800000 in words is "forty-eight million, eight hundred thousand".