256617504 has 384 divisors, whose sum is σ = 921231360. Its totient is φ = 68428800.

The previous prime is 256617503. The next prime is 256617521. The reversal of 256617504 is 405716652.

It is a happy number.

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 (256617503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3830079 + ... + 3830145.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^256617504 is an apocalyptic number.

256617504 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 256617504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680).

256617504 is an abundant number, since it is smaller than the sum of its proper divisors (664613856).

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

256617504 is a wasteful number, since it uses less digits than its factorization.

256617504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 256617504 is about 16019.2853773194. The cubic root of 256617504 is about 635.4705454804.

The spelling of 256617504 in words is "two hundred fifty-six million, six hundred seventeen thousand, five hundred four".