463440096 has 384 divisors, whose sum is σ = 1685376000. Its totient is φ = 120932352.

The previous prime is 463440091. The next prime is 463440121. The reversal of 463440096 is 690044364.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 463440096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463440091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4251690 + ... + 4251798.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2^463440096 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 463440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688000).

463440096 is an abundant number, since it is smaller than the sum of its proper divisors (1221935904).

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

463440096 is a wasteful number, since it uses less digits than its factorization.

463440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 463440096 is about 21527.6588601733. The cubic root of 463440096 is about 773.8638063353.

The spelling of 463440096 in words is "four hundred sixty-three million, four hundred forty thousand, ninety-six".