48724560 has 240 divisors, whose sum is σ = 176417280. Its totient is φ = 12026880.

The previous prime is 48724541. The next prime is 48724561. The reversal of 48724560 is 6542784.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48724561) 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, 825811 + ... + 825869.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^48724560 is an apocalyptic number.

48724560 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 48724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88208640).

48724560 is an abundant number, since it is smaller than the sum of its proper divisors (127692720).

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

48724560 is a wasteful number, since it uses less digits than its factorization.

48724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

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

The square root of 48724560 is about 6980.2979879085. The cubic root of 48724560 is about 365.2436229310.

It can be divided in two parts, 48724 and 560, that added together give a square (49284 = 222²).

The spelling of 48724560 in words is "forty-eight million, seven hundred twenty-four thousand, five hundred sixty".