463220100 has 144 divisors (see below), whose sum is σ = 1701974400. Its totient is φ = 105874560.

The previous prime is 463220089. The next prime is 463220101. The reversal of 463220100 is 1022364.

It is a happy number.

463220100 is a `hidden beast` number, since 4 + 632 + 20 + 10 + 0 = 666.

463220100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×463220100² = 429145722088020000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (463220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646 + ... + 31154.

Almost surely, 2^463220100 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 463220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850987200).

463220100 is an abundant number, since it is smaller than the sum of its proper divisors (1238754300).

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

463220100 is a wasteful number, since it uses less digits than its factorization.

463220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24539 (or 24526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 463220100 is about 21522.5486409022. The cubic root of 463220100 is about 773.7413353555.

Adding to 463220100 its reverse (1022364), we get a palindrome (464242464).

The spelling of 463220100 in words is "four hundred sixty-three million, two hundred twenty thousand, one hundred".