240467040 has 576 divisors, whose sum is σ = 1018967040. Its totient is φ = 50872320.

The previous prime is 240467011. The next prime is 240467099. The reversal of 240467040 is 40764042.

It is a junction number, because it is equal to n+sod(n) for n = 240466995 and 240467013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5116297 + ... + 5116343.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^240467040 is an apocalyptic number.

240467040 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 240467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

240467040 is an abundant number, since it is smaller than the sum of its proper divisors (778500000).

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

240467040 is a wasteful number, since it uses less digits than its factorization.

240467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 240467040 is about 15506.9997098085. Note that the first 3 decimals coincide. The cubic root of 240467040 is about 621.8493516185.

The spelling of 240467040 in words is "two hundred forty million, four hundred sixty-seven thousand, forty".