853363440 has 120 divisors (see below), whose sum is σ = 2872293840. Its totient is φ = 227054592.

The previous prime is 853363429. The next prime is 853363453. The reversal of 853363440 is 44363358.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 853363395 and 853363404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408639 + ... + 410721.

It is an arithmetic number, because the mean of its divisors is an integer number (23935782).

Almost surely, 2^853363440 is an apocalyptic number.

853363440 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 853363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436146920).

853363440 is an abundant number, since it is smaller than the sum of its proper divisors (2018930400).

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

853363440 is a wasteful number, since it uses less digits than its factorization.

853363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 853363440 is about 29212.3850447032. The cubic root of 853363440 is about 948.5160358788.

The spelling of 853363440 in words is "eight hundred fifty-three million, three hundred sixty-three thousand, four hundred forty".