863774352 has 360 divisors, whose sum is σ = 3142432800. Its totient is φ = 219469824.

The previous prime is 863774341. The next prime is 863774357. The reversal of 863774352 is 253477368.

863774352 is a `hidden beast` number, since 8 + 637 + 7 + 4 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×863774352² = 1492212262346039808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 863774298 and 863774307.

It is not an unprimeable number, because it can be changed into a prime (863774357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2278899 + ... + 2279277.

It is an arithmetic number, because the mean of its divisors is an integer number (8728980).

Almost surely, 2^863774352 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 863774352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571216400).

863774352 is an abundant number, since it is smaller than the sum of its proper divisors (2278658448).

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

863774352 is a wasteful number, since it uses less digits than its factorization.

863774352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 863774352 is about 29390.0383123262. The cubic root of 863774352 is about 952.3577087134.

The spelling of 863774352 in words is "eight hundred sixty-three million, seven hundred seventy-four thousand, three hundred fifty-two".