48903920 has 80 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 17728512.

The previous prime is 48903901. The next prime is 48903977. The reversal of 48903920 is 2930984.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×48903920³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60962 + ... + 61758.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^48903920 is an apocalyptic number.

48903920 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 48903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

48903920 is an abundant number, since it is smaller than the sum of its proper divisors (75775600).

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

48903920 is a wasteful number, since it uses less digits than its factorization.

48903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 48903920 is about 6993.1337753542. The cubic root of 48903920 is about 365.6912402935.

The spelling of 48903920 in words is "forty-eight million, nine hundred three thousand, nine hundred twenty".