256840416 has 96 divisors (see below), whose sum is σ = 856154880. Its totient is φ = 73381248.

The previous prime is 256840411. The next prime is 256840417. The reversal of 256840416 is 614048652.

256840416 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 (96).

It is a super-3 number, since 3×256840416³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256840411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15186 + ... + 27281.

It is an arithmetic number, because the mean of its divisors is an integer number (8918280).

Almost surely, 2^256840416 is an apocalyptic number.

It is an amenable number.

256840416 is an abundant number, since it is smaller than the sum of its proper divisors (599314464).

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

256840416 is a wasteful number, since it uses less digits than its factorization.

256840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42493 (or 42479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 256840416 is about 16026.2414807715. The cubic root of 256840416 is about 635.6544937194.

The spelling of 256840416 in words is "two hundred fifty-six million, eight hundred forty thousand, four hundred sixteen".