854400480 has 48 divisors (see below), whose sum is σ = 2691363024. Its totient is φ = 227840000.

The previous prime is 854400413. The next prime is 854400499. The reversal of 854400480 is 84004458.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889521 + ... + 890480.

It is an arithmetic number, because the mean of its divisors is an integer number (56070063).

Almost surely, 2^854400480 is an apocalyptic number.

854400480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

854400480 is an abundant number, since it is smaller than the sum of its proper divisors (1836962544).

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

854400480 is a wasteful number, since it uses less digits than its factorization.

854400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780019 (or 1780011 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 854400480 is about 29230.1296610193. The cubic root of 854400480 is about 948.9001047044.

The spelling of 854400480 in words is "eight hundred fifty-four million, four hundred thousand, four hundred eighty".