48513920 has 256 divisors, whose sum is σ = 154224000. Its totient is φ = 14450688.

The previous prime is 48513889. The next prime is 48513929. The reversal of 48513920 is 2931584.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48513929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853752 + ... + 2853768.

Almost surely, 2^48513920 is an apocalyptic number.

48513920 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 48513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

48513920 is an abundant number, since it is smaller than the sum of its proper divisors (105710080).

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

48513920 is a wasteful number, since it uses less digits than its factorization.

48513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 48513920 is about 6965.1934646498. The cubic root of 48513920 is about 364.7165372823.

The spelling of 48513920 in words is "forty-eight million, five hundred thirteen thousand, nine hundred twenty".