240520320 has 256 divisors, whose sum is σ = 881280000. Its totient is φ = 61931520.

The previous prime is 240520261. The next prime is 240520321. The reversal of 240520320 is 23025042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240520293 and 240520302.

It is not an unprimeable number, because it can be changed into a prime (240520321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535456 + ... + 535904.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^240520320 is an apocalyptic number.

240520320 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 240520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

240520320 is an abundant number, since it is smaller than the sum of its proper divisors (640759680).

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

240520320 is a wasteful number, since it uses less digits than its factorization.

240520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 240520320 is about 15508.7175485273. The cubic root of 240520320 is about 621.8952757040.

Adding to 240520320 its reverse (23025042), we get a palindrome (263545362).

The spelling of 240520320 in words is "two hundred forty million, five hundred twenty thousand, three hundred twenty".