48768440 has 128 divisors (see below), whose sum is σ = 134784000. Its totient is φ = 15510528.

The previous prime is 48768437. The next prime is 48768443. The reversal of 48768440 is 4486784.

It is an interprime number because it is at equal distance from previous prime (48768437) and next prime (48768443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473429 + ... + 473531.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^48768440 is an apocalyptic number.

48768440 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 48768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392000).

48768440 is an abundant number, since it is smaller than the sum of its proper divisors (86015560).

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

48768440 is a wasteful number, since it uses less digits than its factorization.

48768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 48768440 is about 6983.4404128624. The cubic root of 48768440 is about 365.3532328242.

The spelling of 48768440 in words is "forty-eight million, seven hundred sixty-eight thousand, four hundred forty".