464191056 has 120 divisors (see below), whose sum is σ = 1495807040. Its totient is φ = 131632128.

The previous prime is 464191031. The next prime is 464191073. The reversal of 464191056 is 650191464.

464191056 is a `hidden beast` number, since 4 + 641 + 9 + 1 + 0 + 5 + 6 = 666.

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 464191056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138456 + ... + 141768.

Almost surely, 2^464191056 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 464191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747903520).

464191056 is an abundant number, since it is smaller than the sum of its proper divisors (1031615984).

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

464191056 is a wasteful number, since it uses less digits than its factorization.

464191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 464191056 is about 21545.0935481840. The cubic root of 464191056 is about 774.2815713331.

The spelling of 464191056 in words is "four hundred sixty-four million, one hundred ninety-one thousand, fifty-six".