256155416 has 64 divisors (see below), whose sum is σ = 575596800. Its totient is φ = 105494400.

The previous prime is 256155373. The next prime is 256155421. The reversal of 256155416 is 614551652.

256155416 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 super-2 number, since 2×256155416² = 131231194292266112, which contains 22 as substring.

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, 35126 + ... + 41786.

It is an arithmetic number, because the mean of its divisors is an integer number (8993700).

Almost surely, 2^256155416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256155416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287798400).

256155416 is an abundant number, since it is smaller than the sum of its proper divisors (319441384).

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

256155416 is a wasteful number, since it uses less digits than its factorization.

256155416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6716 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 256155416 is about 16004.8560130980. The cubic root of 256155416 is about 635.0888882945.

The spelling of 256155416 in words is "two hundred fifty-six million, one hundred fifty-five thousand, four hundred sixteen".