854232480 has 288 divisors, whose sum is σ = 3064449024. Its totient is φ = 224695296.

The previous prime is 854232469. The next prime is 854232481. The reversal of 854232480 is 84232458.

854232480 is a `hidden beast` number, since 8 + 542 + 32 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (854232481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4937674 + ... + 4937846.

It is an arithmetic number, because the mean of its divisors is an integer number (10640448).

Almost surely, 2^854232480 is an apocalyptic number.

854232480 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 854232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532224512).

854232480 is an abundant number, since it is smaller than the sum of its proper divisors (2210216544).

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

854232480 is a wasteful number, since it uses less digits than its factorization.

854232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

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

The square root of 854232480 is about 29227.2557726517. The cubic root of 854232480 is about 948.8379068354.

The spelling of 854232480 in words is "eight hundred fifty-four million, two hundred thirty-two thousand, four hundred eighty".