48121920 has 504 divisors, whose sum is σ = 216822528. Its totient is φ = 9676800.

The previous prime is 48121901. The next prime is 48121921. The reversal of 48121920 is 2912184.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48121921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552305 + ... + 1552335.

Almost surely, 2^48121920 is an apocalyptic number.

48121920 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 48121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

48121920 is an abundant number, since it is smaller than the sum of its proper divisors (168700608).

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

48121920 is a wasteful number, since it uses less digits than its factorization.

48121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 48121920 is about 6936.9964682130. The cubic root of 48121920 is about 363.7315575019.

The spelling of 48121920 in words is "forty-eight million, one hundred twenty-one thousand, nine hundred twenty".