464720256 has 576 divisors, whose sum is σ = 1863613440. Its totient is φ = 107827200.

The previous prime is 464720219. The next prime is 464720257. The reversal of 464720256 is 652027464.

464720256 is a `hidden beast` number, since 4 + 647 + 2 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 464720256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464720257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14990961 + ... + 14990991.

It is an arithmetic number, because the mean of its divisors is an integer number (3235440).

Almost surely, 2^464720256 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 464720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931806720).

464720256 is an abundant number, since it is smaller than the sum of its proper divisors (1398893184).

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

464720256 is a wasteful number, since it uses less digits than its factorization.

464720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 464720256 is about 21557.3712683156. The cubic root of 464720256 is about 774.5756989266.

The spelling of 464720256 in words is "four hundred sixty-four million, seven hundred twenty thousand, two hundred fifty-six".