256233510 has 128 divisors (see below), whose sum is σ = 756120960. Its totient is φ = 61337088.

The previous prime is 256233499. The next prime is 256233539. The reversal of 256233510 is 15332652.

256233510 is a `hidden beast` number, since 2 + 5 + 623 + 35 + 1 + 0 = 666.

It is a super-2 number, since 2×256233510² = 131311223293840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 128884 + ... + 130856.

It is an arithmetic number, because the mean of its divisors is an integer number (5907195).

Almost surely, 2^256233510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256233510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378060480).

256233510 is an abundant number, since it is smaller than the sum of its proper divisors (499887450).

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

256233510 is a wasteful number, since it uses less digits than its factorization.

256233510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 256233510 is about 16007.2955242289. The cubic root of 256233510 is about 635.1534215026.

The spelling of 256233510 in words is "two hundred fifty-six million, two hundred thirty-three thousand, five hundred ten".