895630464 has 96 divisors (see below), whose sum is σ = 2626076700. Its totient is φ = 292890624.

The previous prime is 895630459. The next prime is 895630523. The reversal of 895630464 is 464036598.

895630464 is a `hidden beast` number, since 8 + 9 + 5 + 630 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 864360000 + 31270464 = 29400^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53722 + ... + 68390.

Almost surely, 2^895630464 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 895630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313038350).

895630464 is an abundant number, since it is smaller than the sum of its proper divisors (1730446236).

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

895630464 is a wasteful number, since it uses less digits than its factorization.

895630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14742 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 895630464 is about 29927.0857919711. The cubic root of 895630464 is about 963.9243525747.

The spelling of 895630464 in words is "eight hundred ninety-five million, six hundred thirty thousand, four hundred sixty-four".