854945280 has 800 divisors, whose sum is σ = 3802613760. Its totient is φ = 179159040.

The previous prime is 854945263. The next prime is 854945281. The reversal of 854945280 is 82549458.

854945280 is a `hidden beast` number, since 85 + 49 + 4 + 528 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854945281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578865 + ... + 27578895.

Almost surely, 2^854945280 is an apocalyptic number.

854945280 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 854945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901306880).

854945280 is an abundant number, since it is smaller than the sum of its proper divisors (2947668480).

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

854945280 is a wasteful number, since it uses less digits than its factorization.

854945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 854945280 is about 29239.4473271982. The cubic root of 854945280 is about 949.1017474351.

The spelling of 854945280 in words is "eight hundred fifty-four million, nine hundred forty-five thousand, two hundred eighty".