854340480 has 384 divisors, whose sum is σ = 3523284000. Its totient is φ = 195084288.

The previous prime is 854340467. The next prime is 854340481. The reversal of 854340480 is 84043458.

It is a tau number, because it is divible by the number of its divisors (384).

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 (854340481) 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 47 ways as a sum of consecutive naturals, for example, 846216 + ... + 847224.

Almost surely, 2^854340480 is an apocalyptic number.

854340480 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 854340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761642000).

854340480 is an abundant number, since it is smaller than the sum of its proper divisors (2668943520).

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

854340480 is a wasteful number, since it uses less digits than its factorization.

854340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 854340480 is about 29229.1033047543. The cubic root of 854340480 is about 948.8778921158.

The spelling of 854340480 in words is "eight hundred fifty-four million, three hundred forty thousand, four hundred eighty".