463224300 has 216 divisors, whose sum is σ = 1684558848. Its totient is φ = 96201600.

The previous prime is 463224287. The next prime is 463224319. The reversal of 463224300 is 3422364.

It is a happy number.

It is a super-2 number, since 2×463224300² = 429153504220980000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253189 + ... + 255011.

Almost surely, 2^463224300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842279424).

463224300 is an abundant number, since it is smaller than the sum of its proper divisors (1221334548).

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

463224300 is a wasteful number, since it uses less digits than its factorization.

463224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 463224300 is about 21522.6462127685. The cubic root of 463224300 is about 773.7436738434.

Adding to 463224300 its reverse (3422364), we get a palindrome (466646664).

The spelling of 463224300 in words is "four hundred sixty-three million, two hundred twenty-four thousand, three hundred".