48462920 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 15206400.

The previous prime is 48462919. The next prime is 48462923. The reversal of 48462920 is 2926484.

48462920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48462920² = 4697309229852800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48462923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563305 + ... + 1563335.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^48462920 is an apocalyptic number.

48462920 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 48462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

48462920 is an abundant number, since it is smaller than the sum of its proper divisors (89431480).

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

48462920 is a wasteful number, since it uses less digits than its factorization.

48462920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 48462920 is about 6961.5314407104. The cubic root of 48462920 is about 364.5886903666.

The spelling of 48462920 in words is "forty-eight million, four hundred sixty-two thousand, nine hundred twenty".