853098480 has 600 divisors, whose sum is σ = 3459622320. Its totient is φ = 194088960.

The previous prime is 853098443. The next prime is 853098487. The reversal of 853098480 is 84890358.

853098480 is a `hidden beast` number, since 85 + 3 + 0 + 98 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853098487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20807260 + ... + 20807300.

Almost surely, 2^853098480 is an apocalyptic number.

853098480 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 853098480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729811160).

853098480 is an abundant number, since it is smaller than the sum of its proper divisors (2606523840).

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

853098480 is a wasteful number, since it uses less digits than its factorization.

853098480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 853098480 is about 29207.8496298512. The cubic root of 853098480 is about 948.4178577708.

The spelling of 853098480 in words is "eight hundred fifty-three million, ninety-eight thousand, four hundred eighty".