256401024 has 128 divisors (see below), whose sum is σ = 751584960. Its totient is φ = 76800000.

The previous prime is 256401011. The next prime is 256401043. The reversal of 256401024 is 420104652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 256400985 and 256401003.

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, 426324 + ... + 426924.

Almost surely, 2^256401024 is an apocalyptic number.

256401024 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 256401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375792480).

256401024 is an abundant number, since it is smaller than the sum of its proper divisors (495183936).

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

256401024 is a wasteful number, since it uses less digits than its factorization.

256401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 256401024 is about 16012.5270959958. The cubic root of 256401024 is about 635.2918029771.

Adding to 256401024 its reverse (420104652), we get a palindrome (676505676).

The spelling of 256401024 in words is "two hundred fifty-six million, four hundred one thousand, twenty-four".