863410464 has 144 divisors (see below), whose sum is σ = 2953903680. Its totient is φ = 233694720.

The previous prime is 863410463. The next prime is 863410477. The reversal of 863410464 is 464014368.

863410464 is a `hidden beast` number, since 8 + 634 + 10 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (863410463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27034 + ... + 49574.

It is an arithmetic number, because the mean of its divisors is an integer number (20513220).

Almost surely, 2^863410464 is an apocalyptic number.

863410464 is a gapful number since it is divisible by the number (84) 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 863410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476951840).

863410464 is an abundant number, since it is smaller than the sum of its proper divisors (2090493216).

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

863410464 is a wasteful number, since it uses less digits than its factorization.

863410464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22583 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 863410464 is about 29383.8469911617. The cubic root of 863410464 is about 952.2239545613.

The spelling of 863410464 in words is "eight hundred sixty-three million, four hundred ten thousand, four hundred sixty-four".