863396352 has 480 divisors, whose sum is σ = 3217294080. Its totient is φ = 216760320.

The previous prime is 863396329. The next prime is 863396377. The reversal of 863396352 is 253693368.

863396352 is a `hidden beast` number, since 8 + 6 + 3 + 3 + 9 + 635 + 2 = 666.

It is a super-3 number, since 3×863396352³ (a number of 28 digits) contains 333 as substring.

Its product of digits (699840) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 863396298 and 863396307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12160477 + ... + 12160547.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^863396352 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 863396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

863396352 is an abundant number, since it is smaller than the sum of its proper divisors (2353897728).

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

863396352 is a wasteful number, since it uses less digits than its factorization.

863396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 863396352 is about 29383.6068582467. The cubic root of 863396352 is about 952.2187666628.

The spelling of 863396352 in words is "eight hundred sixty-three million, three hundred ninety-six thousand, three hundred fifty-two".