854472960 has 324 divisors, whose sum is σ = 3254883996. Its totient is φ = 206807040.

The previous prime is 854472947. The next prime is 854472961. The reversal of 854472960 is 69274458.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 753831936 = 10032^2 + 27456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (854472961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393614 + ... + 1394226.

Almost surely, 2^854472960 is an apocalyptic number.

854472960 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 854472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627441998).

854472960 is an abundant number, since it is smaller than the sum of its proper divisors (2400411036).

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

854472960 is a wasteful number, since it uses less digits than its factorization.

854472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 854472960 is about 29231.3694513275. The cubic root of 854472960 is about 948.9269361246.

The spelling of 854472960 in words is "eight hundred fifty-four million, four hundred seventy-two thousand, nine hundred sixty".