256607424 has 42 divisors (see below), whose sum is σ = 735520500. Its totient is φ = 85535616.

The previous prime is 256607423. The next prime is 256607431. The reversal of 256607424 is 424706652.

256607424 is a `hidden beast` number, since 2 + 5 + 6 + 607 + 42 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (256607423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222174 + ... + 223325.

Almost surely, 2^256607424 is an apocalyptic number.

256607424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256607424 is an abundant number, since it is smaller than the sum of its proper divisors (478913076).

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

256607424 is a wasteful number, since it uses less digits than its factorization.

256607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445517 (or 445504 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 256607424 is about 16018.9707534535. The cubic root of 256607424 is about 635.4622248905.

The spelling of 256607424 in words is "two hundred fifty-six million, six hundred seven thousand, four hundred twenty-four".