853908480 has 440 divisors, whose sum is σ = 3210023520. Its totient is φ = 216760320.

The previous prime is 853908479. The next prime is 853908499. The reversal of 853908480 is 84809358.

853908480 is a `hidden beast` number, since 85 + 3 + 90 + 8 + 480 = 666.

It is a super-3 number, since 3×853908480³ (a number of 28 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 12026845 + ... + 12026915.

It is an arithmetic number, because the mean of its divisors is an integer number (7295508).

Almost surely, 2^853908480 is an apocalyptic number.

853908480 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 853908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605011760).

853908480 is an abundant number, since it is smaller than the sum of its proper divisors (2356115040).

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

853908480 is a wasteful number, since it uses less digits than its factorization.

853908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

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

The square root of 853908480 is about 29221.7124754864. The cubic root of 853908480 is about 948.7179307694.

The spelling of 853908480 in words is "eight hundred fifty-three million, nine hundred eight thousand, four hundred eighty".