854124480 has 672 divisors, whose sum is σ = 3567379200. Its totient is φ = 191600640.

The previous prime is 854124473. The next prime is 854124487. The reversal of 854124480 is 84421458.

854124480 is a `hidden beast` number, since 8 + 54 + 124 + 480 = 666.

854124480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (854124473) and next prime (854124487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854124487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19863339 + ... + 19863381.

It is an arithmetic number, because the mean of its divisors is an integer number (5308600).

Almost surely, 2^854124480 is an apocalyptic number.

854124480 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 854124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783689600).

854124480 is an abundant number, since it is smaller than the sum of its proper divisors (2713254720).

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

854124480 is a wasteful number, since it uses less digits than its factorization.

854124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 854124480 is about 29225.4081237542. The cubic root of 854124480 is about 948.7979181847.

The spelling of 854124480 in words is "eight hundred fifty-four million, one hundred twenty-four thousand, four hundred eighty".