240049920 has 144 divisors (see below), whose sum is σ = 836502912. Its totient is φ = 58183680.

The previous prime is 240049913. The next prime is 240049949. The reversal of 240049920 is 29940042.

240049920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39399 + ... + 45081.

It is an arithmetic number, because the mean of its divisors is an integer number (5809048).

Almost surely, 2^240049920 is an apocalyptic number.

240049920 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 240049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418251456).

240049920 is an abundant number, since it is smaller than the sum of its proper divisors (596452992).

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

240049920 is a wasteful number, since it uses less digits than its factorization.

240049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 240049920 is about 15493.5444621300. The cubic root of 240049920 is about 621.4895851612.

Adding to 240049920 its reverse (29940042), we get a palindrome (269989962).

The spelling of 240049920 in words is "two hundred forty million, forty-nine thousand, nine hundred twenty".