853679424 has 224 divisors, whose sum is σ = 2621767680. Its totient is φ = 242915328.

The previous prime is 853679423. The next prime is 853679479. The reversal of 853679424 is 424976358.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853679423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228737 + ... + 2229119.

It is an arithmetic number, because the mean of its divisors is an integer number (11704320).

Almost surely, 2^853679424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

853679424 is an abundant number, since it is smaller than the sum of its proper divisors (1768088256).

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

853679424 is a wasteful number, since it uses less digits than its factorization.

853679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 853679424 is about 29217.7929351277. The cubic root of 853679424 is about 948.6330938214.

The spelling of 853679424 in words is "eight hundred fifty-three million, six hundred seventy-nine thousand, four hundred twenty-four".