463979000 has 64 divisors (see below), whose sum is σ = 1132971840. Its totient is φ = 177513600.

The previous prime is 463978973. The next prime is 463979003. The reversal of 463979000 is 979364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463979003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12914 + ... + 33086.

It is an arithmetic number, because the mean of its divisors is an integer number (17702685).

Almost surely, 2^463979000 is an apocalyptic number.

463979000 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 463979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566485920).

463979000 is an abundant number, since it is smaller than the sum of its proper divisors (668992840).

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

463979000 is a wasteful number, since it uses less digits than its factorization.

463979000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20217 (or 20203 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 463979000 is about 21540.1717727598. The cubic root of 463979000 is about 774.1636485802.

The spelling of 463979000 in words is "four hundred sixty-three million, nine hundred seventy-nine thousand".