863482464 has 192 divisors, whose sum is σ = 2760307200. Its totient is φ = 260983296.

The previous prime is 863482429. The next prime is 863482507. The reversal of 863482464 is 464284368.

863482464 is a `hidden beast` number, since 8 + 634 + 8 + 2 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×863482464² = 1491203931271022592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662037 + ... + 663339.

It is an arithmetic number, because the mean of its divisors is an integer number (14376600).

Almost surely, 2^863482464 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 863482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380153600).

863482464 is an abundant number, since it is smaller than the sum of its proper divisors (1896824736).

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

863482464 is a wasteful number, since it uses less digits than its factorization.

863482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1380 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 863482464 is about 29385.0721285485. The cubic root of 863482464 is about 952.2504225515.

The spelling of 863482464 in words is "eight hundred sixty-three million, four hundred eighty-two thousand, four hundred sixty-four".