240828383520 has 480 divisors, whose sum is σ = 913735468800. Its totient is φ = 59543506944.

The previous prime is 240828383479. The next prime is 240828383527. The reversal of 240828383520 is 25383828042.

It is a happy number.

240828383520 is a `hidden beast` number, since 2 + 40 + 8 + 2 + 8 + 3 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (240828383527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11562876 + ... + 11583684.

It is an arithmetic number, because the mean of its divisors is an integer number (1903615560).

Almost surely, 2^240828383520 is an apocalyptic number.

240828383520 is a gapful number since it is divisible by the number (20) 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 240828383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456867734400).

240828383520 is an abundant number, since it is smaller than the sum of its proper divisors (672907085280).

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

240828383520 is a wasteful number, since it uses less digits than its factorization.

240828383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20902 (or 20885 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 240828383520 in words is "two hundred forty billion, eight hundred twenty-eight million, three hundred eighty-three thousand, five hundred twenty".