463553000 has 64 divisors (see below), whose sum is σ = 1088914320. Its totient is φ = 184704000.

The previous prime is 463552979. The next prime is 463553003. The reversal of 463553000 is 355364.

It can be written as a sum of positive squares in 8 ways, for example, as 19945156 + 443607844 = 4466^2 + 21062^2 .

It is not an unprimeable number, because it can be changed into a prime (463553003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312260 + ... + 313740.

Almost surely, 2^463553000 is an apocalyptic number.

463553000 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 463553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544457160).

463553000 is an abundant number, since it is smaller than the sum of its proper divisors (625361320).

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

463553000 is a wasteful number, since it uses less digits than its factorization.

463553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 463553000 is about 21530.2810014175. The cubic root of 463553000 is about 773.9266445357.

The spelling of 463553000 in words is "four hundred sixty-three million, five hundred fifty-three thousand".