895471920 has 240 divisors, whose sum is σ = 3466444800. Its totient is φ = 202922496.

The previous prime is 895471883. The next prime is 895471933. The reversal of 895471920 is 29174598.

895471920 is a `hidden beast` number, since 8 + 95 + 471 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639381 + ... + 640779.

It is an arithmetic number, because the mean of its divisors is an integer number (14443520).

Almost surely, 2^895471920 is an apocalyptic number.

895471920 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 895471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733222400).

895471920 is an abundant number, since it is smaller than the sum of its proper divisors (2570972880).

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

895471920 is a wasteful number, since it uses less digits than its factorization.

895471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 895471920 is about 29924.4368368061. The cubic root of 895471920 is about 963.8674714364.

The spelling of 895471920 in words is "eight hundred ninety-five million, four hundred seventy-one thousand, nine hundred twenty".