463220208 has 120 divisors (see below), whose sum is σ = 1466739456. Its totient is φ = 140356800.

The previous prime is 463220201. The next prime is 463220231. The reversal of 463220208 is 802022364.

463220208 is a `hidden beast` number, since 4 + 632 + 2 + 0 + 20 + 8 = 666.

It is a super-2 number, since 2×463220208² = 429145922199126528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37353 + ... + 48183.

Almost surely, 2^463220208 is an apocalyptic number.

463220208 is a gapful number since it is divisible by the number (48) 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 463220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733369728).

463220208 is an abundant number, since it is smaller than the sum of its proper divisors (1003519248).

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

463220208 is a wasteful number, since it uses less digits than its factorization.

463220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 463220208 is about 21522.5511498986. The cubic root of 463220208 is about 773.7413954882.

The spelling of 463220208 in words is "four hundred sixty-three million, two hundred twenty thousand, two hundred eight".