48640000 has 130 divisors (see below), whose sum is σ = 127943420. Its totient is φ = 18432000.

The previous prime is 48639979. The next prime is 48640001. The reversal of 48640000 is 4684.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (48640001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559991 + ... + 2560009.

Almost surely, 2^48640000 is an apocalyptic number.

48640000 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 48640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63971710).

48640000 is an abundant number, since it is smaller than the sum of its proper divisors (79303420).

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

48640000 is an frugal number, since it uses more digits than its factorization.

48640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48640000 is about 6974.2383096651. The cubic root of 48640000 is about 365.0322108310.

Adding to 48640000 its reverse (4684), we get a palindrome (48644684).

The spelling of 48640000 in words is "forty-eight million, six hundred forty thousand".