48800840 has 64 divisors (see below), whose sum is σ = 120605760. Its totient is φ = 17624320.

The previous prime is 48800831. The next prime is 48800849. The reversal of 48800840 is 4800884.

It is an interprime number because it is at equal distance from previous prime (48800831) and next prime (48800849).

It is a junction number, because it is equal to n+sod(n) for n = 48800797 and 48800806.

It is not an unprimeable number, because it can be changed into a prime (48800849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86399 + ... + 86961.

It is an arithmetic number, because the mean of its divisors is an integer number (1884465).

Almost surely, 2^48800840 is an apocalyptic number.

48800840 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 48800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60302880).

48800840 is an abundant number, since it is smaller than the sum of its proper divisors (71804920).

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

48800840 is a wasteful number, since it uses less digits than its factorization.

48800840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 48800840 is about 6985.7598011956. The cubic root of 48800840 is about 365.4341241018.

The spelling of 48800840 in words is "forty-eight million, eight hundred thousand, eight hundred forty".