240996480 has 128 divisors (see below), whose sum is σ = 793152000. Its totient is φ = 62177280.

The previous prime is 240996479. The next prime is 240996487. The reversal of 240996480 is 84699042.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (240996487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57496 + ... + 61544.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^240996480 is an apocalyptic number.

240996480 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 240996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

240996480 is an abundant number, since it is smaller than the sum of its proper divisors (552155520).

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

240996480 is a wasteful number, since it uses less digits than its factorization.

240996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 240996480 is about 15524.0613242798. The cubic root of 240996480 is about 622.3053955332.

It can be divided in two parts, 2409 and 96480, that added together give a palindrome (98889).

The spelling of 240996480 in words is "two hundred forty million, nine hundred ninety-six thousand, four hundred eighty".