48074240 has 80 divisors (see below), whose sum is σ = 117113040. Its totient is φ = 18923520.

The previous prime is 48074239. The next prime is 48074251. The reversal of 48074240 is 4247084.

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

It is a super-3 number, since 3×48074240³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227735 + ... + 227945.

It is an arithmetic number, because the mean of its divisors is an integer number (1463913).

Almost surely, 2^48074240 is an apocalyptic number.

48074240 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 48074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556520).

48074240 is an abundant number, since it is smaller than the sum of its proper divisors (69038800).

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

48074240 is an equidigital number, since it uses as much as digits as its factorization.

48074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 48074240 is about 6933.5589706874. The cubic root of 48074240 is about 363.6113873755.

The spelling of 48074240 in words is "forty-eight million, seventy-four thousand, two hundred forty".