895112400 has 360 divisors, whose sum is σ = 3595124064. Its totient is φ = 188697600.

The previous prime is 895112371. The next prime is 895112419. The reversal of 895112400 is 4211598.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763815 + ... + 764985.

Almost surely, 2^895112400 is an apocalyptic number.

895112400 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 895112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797562032).

895112400 is an abundant number, since it is smaller than the sum of its proper divisors (2700011664).

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

895112400 is a wasteful number, since it uses less digits than its factorization.

895112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 895112400 is about 29918.4291031464. The cubic root of 895112400 is about 963.7384608697.

Adding to 895112400 its reverse (4211598), we get a palindrome (899323998).

The spelling of 895112400 in words is "eight hundred ninety-five million, one hundred twelve thousand, four hundred".