48754560 has 128 divisors (see below), whose sum is σ = 158140800. Its totient is φ = 12773376.

The previous prime is 48754553. The next prime is 48754571. The reversal of 48754560 is 6545784.

48754560 = T₆₁ + T₆₂ + ... + T₆₆₃.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128451 + ... + 128829.

It is an arithmetic number, because the mean of its divisors is an integer number (1235475).

Almost surely, 2^48754560 is an apocalyptic number.

48754560 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 48754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79070400).

48754560 is an abundant number, since it is smaller than the sum of its proper divisors (109386240).

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

48754560 is a wasteful number, since it uses less digits than its factorization.

48754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 48754560 is about 6982.4465626312. The cubic root of 48754560 is about 365.3185684385.

The spelling of 48754560 in words is "forty-eight million, seven hundred fifty-four thousand, five hundred sixty".