463651200 has 288 divisors, whose sum is σ = 1753581960. Its totient is φ = 116244480.

The previous prime is 463651171. The next prime is 463651207. The reversal of 463651200 is 2156364.

463651200 is a `hidden beast` number, since 4 + 6 + 3 + 651 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×463651200² = 429944870522880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463651207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489127 + ... + 490073.

Almost surely, 2^463651200 is an apocalyptic number.

463651200 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 463651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876790980).

463651200 is an abundant number, since it is smaller than the sum of its proper divisors (1289930760).

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

463651200 is a wasteful number, since it uses less digits than its factorization.

463651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 463651200 is about 21532.5613896722. The cubic root of 463651200 is about 773.9812907362.

The spelling of 463651200 in words is "four hundred sixty-three million, six hundred fifty-one thousand, two hundred".