48149640 has 320 divisors, whose sum is σ = 202815360. Its totient is φ = 9953280.

The previous prime is 48149597. The next prime is 48149641. The reversal of 48149640 is 4694184.

It is a happy number.

48149640 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 9 + 640 = 666.

48149640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48149595 and 48149604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48149641) 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 79 ways as a sum of consecutive naturals, for example, 249384 + ... + 249576.

It is an arithmetic number, because the mean of its divisors is an integer number (633798).

Almost surely, 2^48149640 is an apocalyptic number.

48149640 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 48149640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101407680).

48149640 is an abundant number, since it is smaller than the sum of its proper divisors (154665720).

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

48149640 is a wasteful number, since it uses less digits than its factorization.

48149640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48149640 is about 6938.9941634217. The cubic root of 48149640 is about 363.8013850248.

The spelling of 48149640 in words is "forty-eight million, one hundred forty-nine thousand, six hundred forty".