895196400 has 480 divisors, whose sum is σ = 3542630400. Its totient is φ = 188697600.

The previous prime is 895196383. The next prime is 895196429. The reversal of 895196400 is 4691598.

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

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 95 ways as a sum of consecutive naturals, for example, 11331561 + ... + 11331639.

It is an arithmetic number, because the mean of its divisors is an integer number (7380480).

Almost surely, 2^895196400 is an apocalyptic number.

895196400 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 895196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771315200).

895196400 is an abundant number, since it is smaller than the sum of its proper divisors (2647434000).

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

895196400 is a wasteful number, since it uses less digits than its factorization.

895196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 895196400 is about 29919.8328872338. The cubic root of 895196400 is about 963.7686066177.

The spelling of 895196400 in words is "eight hundred ninety-five million, one hundred ninety-six thousand, four hundred".