48953520 has 240 divisors, whose sum is σ = 205201152. Its totient is φ = 10160640.

The previous prime is 48953501. The next prime is 48953563. The reversal of 48953520 is 2535984.

48953520 = T₇₁ + T₇₂ + ... + T₆₆₄.

48953520 is a `hidden beast` number, since 4 + 89 + 53 + 520 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54999 + ... + 55881.

Almost surely, 2^48953520 is an apocalyptic number.

48953520 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 48953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600576).

48953520 is an abundant number, since it is smaller than the sum of its proper divisors (156247632).

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

48953520 is a wasteful number, since it uses less digits than its factorization.

48953520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

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

The square root of 48953520 is about 6996.6792123121. The cubic root of 48953520 is about 365.8148306371.

It can be divided in two parts, 489535 and 20, that added together give a triangular number (489555 = T₉₈₉).

The spelling of 48953520 in words is "forty-eight million, nine hundred fifty-three thousand, five hundred twenty".