463353000 has 256 divisors, whose sum is σ = 1662336000. Its totient is φ = 106272000.

The previous prime is 463352999. The next prime is 463353041. The reversal of 463353000 is 353364.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626631 + ... + 627369.

It is an arithmetic number, because the mean of its divisors is an integer number (6493500).

Almost surely, 2^463353000 is an apocalyptic number.

463353000 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 463353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831168000).

463353000 is an abundant number, since it is smaller than the sum of its proper divisors (1198983000).

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

463353000 is a wasteful number, since it uses less digits than its factorization.

463353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 463353000 is about 21525.6358791094. The cubic root of 463353000 is about 773.8153249420.

The spelling of 463353000 in words is "four hundred sixty-three million, three hundred fifty-three thousand".