240416904 has 256 divisors, whose sum is σ = 789626880. Its totient is φ = 59304960.

The previous prime is 240416881. The next prime is 240416923. The reversal of 240416904 is 409614042.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3588279 + ... + 3588345.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^240416904 is an apocalyptic number.

240416904 is a gapful number since it is divisible by the number (24) 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 240416904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

240416904 is an abundant number, since it is smaller than the sum of its proper divisors (549209976).

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

240416904 is a wasteful number, since it uses less digits than its factorization.

240416904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 240416904 is about 15505.3830652454. The cubic root of 240416904 is about 621.8061312724.

It can be divided in two parts, 2 and 40416904, that multiplied together give a palindrome (80833808).

The spelling of 240416904 in words is "two hundred forty million, four hundred sixteen thousand, nine hundred four".