48819920 has 40 divisors (see below), whose sum is σ = 120186504. Its totient is φ = 18378752.

The previous prime is 48819917. The next prime is 48819931. The reversal of 48819920 is 2991884.

It can be written as a sum of positive squares in 4 ways, for example, as 13868176 + 34951744 = 3724^2 + 5912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16589 + ... + 19308.

Almost surely, 2^48819920 is an apocalyptic number.

48819920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48819920 is an abundant number, since it is smaller than the sum of its proper divisors (71366584).

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

48819920 is a wasteful number, since it uses less digits than its factorization.

48819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35927 (or 35921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 48819920 is about 6987.1253030127. The cubic root of 48819920 is about 365.4817433272.

The spelling of 48819920 in words is "forty-eight million, eight hundred nineteen thousand, nine hundred twenty".