48456720 has 240 divisors, whose sum is σ = 181988352. Its totient is φ = 11473920.

The previous prime is 48456691. The next prime is 48456721. The reversal of 48456720 is 2765484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48456721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290077 + ... + 290243.

Almost surely, 2^48456720 is an apocalyptic number.

48456720 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 48456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

48456720 is an abundant number, since it is smaller than the sum of its proper divisors (133531632).

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

48456720 is a wasteful number, since it uses less digits than its factorization.

48456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48456720 is about 6961.0861221508. The cubic root of 48456720 is about 364.5731420788.

The spelling of 48456720 in words is "forty-eight million, four hundred fifty-six thousand, seven hundred twenty".