1478256 has 80 divisors (see below), whose sum is σ = 4333056. Its totient is φ = 430848.

The previous prime is 1478251. The next prime is 1478263. The reversal of 1478256 is 6528741.

1478256 = T₁ + T₂ + ... + T₂₀₆.

1478256 is a nontrivial binomial coefficient, being equal to C(208, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478251) by changing a digit.

It is the 206-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14301 + ... + 14403.

2^1478256 is an apocalyptic number.

1478256 is a gapful number since it is divisible by the number (16) 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 1478256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528).

1478256 is an abundant number, since it is smaller than the sum of its proper divisors (2854800).

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

1478256 is a wasteful number, since it uses less digits than its factorization.

1478256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 1478256 is about 1215.8355151911. The cubic root of 1478256 is about 113.9156038945.

The spelling of 1478256 in words is "one million, four hundred seventy-eight thousand, two hundred fifty-six".