48090240 has 384 divisors, whose sum is σ = 195350400. Its totient is φ = 11151360.

The previous prime is 48090227. The next prime is 48090271. The reversal of 48090240 is 4209084.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×48090240³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090869 + ... + 2090891.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^48090240 is an apocalyptic number.

48090240 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 48090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

48090240 is an abundant number, since it is smaller than the sum of its proper divisors (147260160).

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

48090240 is a wasteful number, since it uses less digits than its factorization.

48090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48090240 is about 6934.7126833056. The cubic root of 48090240 is about 363.6517217756.

The spelling of 48090240 in words is "forty-eight million, ninety thousand, two hundred forty".