853584480 has 360 divisors, whose sum is σ = 3478649328. Its totient is φ = 193093632.

The previous prime is 853584469. The next prime is 853584497. The reversal of 853584480 is 84485358.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8799792 + ... + 8799888.

Almost surely, 2^853584480 is an apocalyptic number.

853584480 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 853584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739324664).

853584480 is an abundant number, since it is smaller than the sum of its proper divisors (2625064848).

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

853584480 is an equidigital number, since it uses as much as digits as its factorization.

853584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 853584480 is about 29216.1681265699. The cubic root of 853584480 is about 948.5979243510.

The spelling of 853584480 in words is "eight hundred fifty-three million, five hundred eighty-four thousand, four hundred eighty".