463106900 has 36 divisors (see below), whose sum is σ = 1011719100. Its totient is φ = 183993600.

The previous prime is 463106899. The next prime is 463106957. The reversal of 463106900 is 9601364.

It can be written as a sum of positive squares in 6 ways, for example, as 92698384 + 370408516 = 9628^2 + 19246^2 .

It is a super-2 number, since 2×463106900² = 428936001655220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641 + ... + 30440.

Almost surely, 2^463106900 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 463106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505859550).

463106900 is an abundant number, since it is smaller than the sum of its proper divisors (548612200).

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

463106900 is a wasteful number, since it uses less digits than its factorization.

463106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31244 (or 31237 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 463106900 is about 21519.9186801438. The cubic root of 463106900 is about 773.6783022136.

The spelling of 463106900 in words is "four hundred sixty-three million, one hundred six thousand, nine hundred".