48309120 has 96 divisors (see below), whose sum is σ = 166837320. Its totient is φ = 12880896.

The previous prime is 48309113. The next prime is 48309187. The reversal of 48309120 is 2190384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1567 + ... + 9953.

Almost surely, 2^48309120 is an apocalyptic number.

48309120 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 48309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83418660).

48309120 is an abundant number, since it is smaller than the sum of its proper divisors (118528200).

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

48309120 is a wasteful number, since it uses less digits than its factorization.

48309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48309120 is about 6950.4762426757. The cubic root of 48309120 is about 364.2026002509.

The spelling of 48309120 in words is "forty-eight million, three hundred nine thousand, one hundred twenty".