48345920 has 112 divisors (see below), whose sum is σ = 133429248. Its totient is φ = 16343040.

The previous prime is 48345893. The next prime is 48345961. The reversal of 48345920 is 2954384.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253025 + ... + 253215.

Almost surely, 2^48345920 is an apocalyptic number.

48345920 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 48345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

48345920 is an abundant number, since it is smaller than the sum of its proper divisors (85083328).

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

48345920 is a wasteful number, since it uses less digits than its factorization.

48345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 48345920 is about 6953.1230393256. The cubic root of 48345920 is about 364.2950552153.

The spelling of 48345920 in words is "forty-eight million, three hundred forty-five thousand, nine hundred twenty".