48073410 has 144 divisors (see below), whose sum is σ = 158775552. Its totient is φ = 9979200.

The previous prime is 48073409. The next prime is 48073411. The reversal of 48073410 is 1437084.

48073410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48073409) and next prime (48073411).

It is a super-3 number, since 3×48073410³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48073411) 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 71 ways as a sum of consecutive naturals, for example, 48015 + ... + 49005.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2^48073410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48073410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

48073410 is an abundant number, since it is smaller than the sum of its proper divisors (110702142).

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

48073410 is a wasteful number, since it uses less digits than its factorization.

48073410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48073410 is about 6933.4991166077. The cubic root of 48073410 is about 363.6092947843.

The spelling of 48073410 in words is "forty-eight million, seventy-three thousand, four hundred ten".