240379776 has 192 divisors, whose sum is σ = 851716320. Its totient is φ = 63369216.

The previous prime is 240379759. The next prime is 240379817. The reversal of 240379776 is 677973042.

It is a happy number.

240379776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103686 + ... + 105978.

Almost surely, 2^240379776 is an apocalyptic number.

240379776 is a gapful number since it is divisible by the number (26) 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 240379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425858160).

240379776 is an abundant number, since it is smaller than the sum of its proper divisors (611336544).

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

240379776 is a wasteful number, since it uses less digits than its factorization.

240379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 240379776 is about 15504.1857574011. The cubic root of 240379776 is about 621.7741207576.

The spelling of 240379776 in words is "two hundred forty million, three hundred seventy-nine thousand, seven hundred seventy-six".