895461504 has 128 divisors (see below), whose sum is σ = 2740193280. Its totient is φ = 253793280.

The previous prime is 895461439. The next prime is 895461509. The reversal of 895461504 is 405164598.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (895461509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350857 + ... + 353399.

It is an arithmetic number, because the mean of its divisors is an integer number (21407760).

Almost surely, 2^895461504 is an apocalyptic number.

895461504 is a gapful number since it is divisible by the number (84) 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 895461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370096640).

895461504 is an abundant number, since it is smaller than the sum of its proper divisors (1844731776).

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

895461504 is a wasteful number, since it uses less digits than its factorization.

895461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 895461504 is about 29924.2627979371. The cubic root of 895461504 is about 963.8637342328.

The spelling of 895461504 in words is "eight hundred ninety-five million, four hundred sixty-one thousand, five hundred four".