48454560 has 576 divisors, whose sum is σ = 226437120. Its totient is φ = 9123840.

The previous prime is 48454547. The next prime is 48454597. The reversal of 48454560 is 6545484.

48454560 is a `hidden beast` number, since 48 + 4 + 54 + 560 = 666.

48454560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106709 + ... + 2106731.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^48454560 is an apocalyptic number.

48454560 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 48454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

48454560 is an abundant number, since it is smaller than the sum of its proper divisors (177982560).

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

48454560 is a wasteful number, since it uses less digits than its factorization.

48454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 48454560 is about 6960.9309722192. The cubic root of 48454560 is about 364.5677249445.

The spelling of 48454560 in words is "forty-eight million, four hundred fifty-four thousand, five hundred sixty".