463449106890 has 768 divisors, whose sum is σ = 1657985531904. Its totient is φ = 86858956800.

The previous prime is 463449106867. The next prime is 463449106909. The reversal of 463449106890 is 98601944364.

It is a happy number.

463449106890 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 491 + 0 + 68 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 412687869 + ... + 412688991.

It is an arithmetic number, because the mean of its divisors is an integer number (2158835328).

Almost surely, 2^463449106890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463449106890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828992765952).

463449106890 is an abundant number, since it is smaller than the sum of its proper divisors (1194536425014).

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

463449106890 is a wasteful number, since it uses less digits than its factorization.

463449106890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 463449106890 in words is "four hundred sixty-three billion, four hundred forty-nine million, one hundred six thousand, eight hundred ninety".