463564890 has 128 divisors (see below), whose sum is σ = 1269964800. Its totient is φ = 120294720.

The previous prime is 463564889. The next prime is 463564943. The reversal of 463564890 is 98465364.

463564890 is a `hidden beast` number, since 4 + 6 + 3 + 564 + 89 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2196885 + ... + 2197095.

It is an arithmetic number, because the mean of its divisors is an integer number (9921600).

Almost surely, 2^463564890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463564890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634982400).

463564890 is an abundant number, since it is smaller than the sum of its proper divisors (806399910).

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

463564890 is a wasteful number, since it uses less digits than its factorization.

463564890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 463564890 is about 21530.5571223784. The cubic root of 463564890 is about 773.9332614771.

The spelling of 463564890 in words is "four hundred sixty-three million, five hundred sixty-four thousand, eight hundred ninety".