463618890 has 120 divisors (see below), whose sum is σ = 1450273572. Its totient is φ = 105960960.

The previous prime is 463618879. The next prime is 463618913. The reversal of 463618890 is 98816364.

463618890 is a `hidden beast` number, since 4 + 636 + 1 + 8 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 461519289 + 2099601 = 21483^2 + 1449^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33850 + ... + 45530.

Almost surely, 2^463618890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463618890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725136786).

463618890 is an abundant number, since it is smaller than the sum of its proper divisors (986654682).

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

463618890 is a wasteful number, since it uses less digits than its factorization.

463618890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 463618890 is about 21531.8111175070. The cubic root of 463618890 is about 773.9633117638.

The spelling of 463618890 in words is "four hundred sixty-three million, six hundred eighteen thousand, eight hundred ninety".