463284360 has 384 divisors, whose sum is σ = 1949875200. Its totient is φ = 96111360.

The previous prime is 463284329. The next prime is 463284373. The reversal of 463284360 is 63482364.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748131 + ... + 748749.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^463284360 is an apocalyptic number.

463284360 is a gapful number since it is divisible by the number (40) 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 463284360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

463284360 is an abundant number, since it is smaller than the sum of its proper divisors (1486590840).

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

463284360 is a wasteful number, since it uses less digits than its factorization.

463284360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 463284360 is about 21524.0414420712. The cubic root of 463284360 is about 773.7771126741. Note that the first 3 decimals are identical.

The spelling of 463284360 in words is "four hundred sixty-three million, two hundred eighty-four thousand, three hundred sixty".