256424652 has 162 divisors, whose sum is σ = 749272524. Its totient is φ = 73846080.

The previous prime is 256424647. The next prime is 256424671.

256424652 is a `hidden beast` number, since 2 + 5 + 642 + 4 + 6 + 5 + 2 = 666.

256424652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256424652² = 131507204306642208, which contains 22 as substring.

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

Its product of digits (115200) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5963343 + ... + 5963385.

Almost surely, 2^256424652 is an apocalyptic number.

256424652 is a gapful number since it is divisible by the number (22) 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 256424652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374636262).

256424652 is an abundant number, since it is smaller than the sum of its proper divisors (492847872).

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

256424652 is a wasteful number, since it uses less digits than its factorization.

256424652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 96 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 256424652 is about 16013.2648763455. The cubic root of 256424652 is about 635.3113169575.

The spelling of 256424652 in words is "two hundred fifty-six million, four hundred twenty-four thousand, six hundred fifty-two".