464468256 has 432 divisors, whose sum is σ = 1694032704. Its totient is φ = 124540416.

The previous prime is 464468239. The next prime is 464468269. The reversal of 464468256 is 652864464.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8763526 + ... + 8763578.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^464468256 is an apocalyptic number.

464468256 is a gapful number since it is divisible by the number (46) 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 464468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847016352).

464468256 is an abundant number, since it is smaller than the sum of its proper divisors (1229564448).

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

464468256 is a wasteful number, since it uses less digits than its factorization.

464468256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 464468256 is about 21551.5256072511. The cubic root of 464468256 is about 774.4356660314.

It can be divided in two parts, 4644 and 68256, that added together give a square (72900 = 270²).

The spelling of 464468256 in words is "four hundred sixty-four million, four hundred sixty-eight thousand, two hundred fifty-six".