465056256 has 240 divisors, whose sum is σ = 1489029696. Its totient is φ = 128507904.

The previous prime is 465056243. The next prime is 465056257. The reversal of 465056256 is 652650564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (465056257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2784685 + ... + 2784851.

Almost surely, 2^465056256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848).

465056256 is an abundant number, since it is smaller than the sum of its proper divisors (1023973440).

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

465056256 is a wasteful number, since it uses less digits than its factorization.

465056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 465056256 is about 21565.1630181643. The cubic root of 465056256 is about 774.7623307288.

It can be divided in two parts, 4650 and 56256, that added together give a palindrome (60906).

The spelling of 465056256 in words is "four hundred sixty-five million, fifty-six thousand, two hundred fifty-six".