463050000 has 480 divisors, whose sum is σ = 1937376000. Its totient is φ = 105840000.

The previous prime is 463049957. The next prime is 463050011. The reversal of 463050000 is 50364.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 66149997 + ... + 66150003.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^463050000 is an apocalyptic number.

463050000 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 463050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968688000).

463050000 is an abundant number, since it is smaller than the sum of its proper divisors (1474326000).

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

463050000 is an frugal number, since it uses more digits than its factorization.

463050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 463050000 is about 21518.5966085152. The cubic root of 463050000 is about 773.6466147145.

The spelling of 463050000 in words is "four hundred sixty-three million, fifty thousand".