895465440 has 288 divisors, whose sum is σ = 3358817280. Its totient is φ = 216235008.

The previous prime is 895465427. The next prime is 895465447. The reversal of 895465440 is 44564598.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895465447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628569 + ... + 629991.

It is an arithmetic number, because the mean of its divisors is an integer number (11662560).

Almost surely, 2^895465440 is an apocalyptic number.

895465440 is a gapful number since it is divisible by the number (80) 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 895465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679408640).

895465440 is an abundant number, since it is smaller than the sum of its proper divisors (2463351840).

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

895465440 is a wasteful number, since it uses less digits than its factorization.

895465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 895465440 is about 29924.3285638960. The cubic root of 895465440 is about 963.8651464514.

The spelling of 895465440 in words is "eight hundred ninety-five million, four hundred sixty-five thousand, four hundred forty".