895478400 has 576 divisors, whose sum is σ = 3551558400. Its totient is φ = 213811200.

The previous prime is 895478359. The next prime is 895478429. The reversal of 895478400 is 4874598.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 15177571 + ... + 15177629.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2^895478400 is an apocalyptic number.

895478400 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 895478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

895478400 is an abundant number, since it is smaller than the sum of its proper divisors (2656080000).

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

895478400 is a wasteful number, since it uses less digits than its factorization.

895478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 895478400 is about 29924.5451093246. The cubic root of 895478400 is about 963.8697964101.

The spelling of 895478400 in words is "eight hundred ninety-five million, four hundred seventy-eight thousand, four hundred".