48657280 has 64 divisors (see below), whose sum is σ = 132950880. Its totient is φ = 16680960.

The previous prime is 48657263. The next prime is 48657289. The reversal of 48657280 is 8275684.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48657289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 9910.

Almost surely, 2^48657280 is an apocalyptic number.

48657280 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 48657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66475440).

48657280 is an abundant number, since it is smaller than the sum of its proper divisors (84293600).

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

48657280 is a wasteful number, since it uses less digits than its factorization.

48657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 48657280 is about 6975.4770446185. The cubic root of 48657280 is about 365.0754332116.

The spelling of 48657280 in words is "forty-eight million, six hundred fifty-seven thousand, two hundred eighty".