48935520 has 144 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 12275712.

The previous prime is 48935519. The next prime is 48935533. The reversal of 48935520 is 2553984.

48935520 is a `hidden beast` number, since 48 + 93 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23481 + ... + 25479.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^48935520 is an apocalyptic number.

48935520 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 48935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

48935520 is an abundant number, since it is smaller than the sum of its proper divisors (127968480).

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

48935520 is a wasteful number, since it uses less digits than its factorization.

48935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 48935520 is about 6995.3927695305. The cubic root of 48935520 is about 365.7699889575.

It can be divided in two parts, 48935 and 520, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 48935520 in words is "forty-eight million, nine hundred thirty-five thousand, five hundred twenty".